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Título : Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Colección: Operator Theory: Advances and Applications num. 157 Número de páginas: XVI, 312 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7303-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Operator theory Differential equations Theory a Complex Variable Ordinary Equations Clasificación: 51 Matemáticas Resumen: Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call "multidimensional operator theory", are topics of active and intensive research. The present volume contains a selection of papers in multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists Nota de contenido: Functional Models for Representations of the Cuntz Algebra -- Relations on Non-commutative Variables and Associated Orthogonal Polynomials -- Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis -- Operator Method for Solution of PDEs Based on Their Symmetries -- On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes -- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II -- Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces -- Hardy Algebras Associated with W*-Correspondences (Point Evaluation and Schur Class Functions) -- Notes on Generalized Lemniscates -- One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk -- Favard’s Theorem Modulo an Ideal En línea: http://dx.doi.org/10.1007/b137040 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35319 Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov . - Basel : Birkhäuser Basel, 2005 . - XVI, 312 p : online resource. - (Operator Theory: Advances and Applications; 157) .
ISBN : 978-3-7643-7303-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Operator theory Differential equations Theory a Complex Variable Ordinary Equations Clasificación: 51 Matemáticas Resumen: Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call "multidimensional operator theory", are topics of active and intensive research. The present volume contains a selection of papers in multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists Nota de contenido: Functional Models for Representations of the Cuntz Algebra -- Relations on Non-commutative Variables and Associated Orthogonal Polynomials -- Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis -- Operator Method for Solution of PDEs Based on Their Symmetries -- On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes -- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II -- Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces -- Hardy Algebras Associated with W*-Correspondences (Point Evaluation and Schur Class Functions) -- Notes on Generalized Lemniscates -- One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk -- Favard’s Theorem Modulo an Ideal En línea: http://dx.doi.org/10.1007/b137040 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35319 Ejemplares
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Título : Operator Algebras : Theory of C?-Algebras and von Neumann Algebras Tipo de documento: documento electrónico Autores: Bruce Blackadar ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Encyclopaedia of Mathematical Sciences, ISSN 0938-0396 num. 122 Número de páginas: XX, 528 p Il.: online resource ISBN/ISSN/DL: 978-3-540-28517-5 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Functional analysis Operator theory Geometry Topology Physics Theory Analysis Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This volume attempts to give a comprehensive discussion of the theory of operator algebras (C*-algebras and von Neumann algebras. ) The volume is intended to serve two purposes: to record the standard theory in the Encyc- pedia of Mathematics, and to serve as an introduction and standard reference for the specialized volumes in the series on current research topics in the subject. Since there are already numerous excellent treatises on various aspects of thesubject,howdoesthisvolumemakeasigni?cantadditiontotheliterature, and how does it di?er from the other books in the subject? In short, why another book on operator algebras? The answer lies partly in the ?rst paragraph above. More importantly, no other single reference covers all or even almost all of the material in this volume. I have tried to cover all of the main aspects of “standard” or “clas- cal” operator algebra theory; the goal has been to be, well, encyclopedic. Of course, in a subject as vast as this one, authors must make highly subjective judgments as to what to include and what to omit, as well as what level of detail to include, and I have been guided as much by my own interests and prejudices as by the needs of the authors of the more specialized volumes Nota de contenido: Operators on Hilbert Space -- C*-Algebras -- Von Neumann Algebras -- Further Structure -- K-Theory and Finiteness En línea: http://dx.doi.org/10.1007/3-540-28517-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34916 Operator Algebras : Theory of C?-Algebras and von Neumann Algebras [documento electrónico] / Bruce Blackadar ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XX, 528 p : online resource. - (Encyclopaedia of Mathematical Sciences, ISSN 0938-0396; 122) .
ISBN : 978-3-540-28517-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Functional analysis Operator theory Geometry Topology Physics Theory Analysis Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This volume attempts to give a comprehensive discussion of the theory of operator algebras (C*-algebras and von Neumann algebras. ) The volume is intended to serve two purposes: to record the standard theory in the Encyc- pedia of Mathematics, and to serve as an introduction and standard reference for the specialized volumes in the series on current research topics in the subject. Since there are already numerous excellent treatises on various aspects of thesubject,howdoesthisvolumemakeasigni?cantadditiontotheliterature, and how does it di?er from the other books in the subject? In short, why another book on operator algebras? The answer lies partly in the ?rst paragraph above. More importantly, no other single reference covers all or even almost all of the material in this volume. I have tried to cover all of the main aspects of “standard” or “clas- cal” operator algebra theory; the goal has been to be, well, encyclopedic. Of course, in a subject as vast as this one, authors must make highly subjective judgments as to what to include and what to omit, as well as what level of detail to include, and I have been guided as much by my own interests and prejudices as by the needs of the authors of the more specialized volumes Nota de contenido: Operators on Hilbert Space -- C*-Algebras -- Von Neumann Algebras -- Further Structure -- K-Theory and Finiteness En línea: http://dx.doi.org/10.1007/3-540-28517-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34916 Ejemplares
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Título : Operator Algebras, Operator Theory and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Maria Amélia Bastos ; Amarino Brites Lebre ; Frank-Olme Speck ; Israel Gohberg Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Operator Theory: Advances and Applications num. 181 Número de páginas: XIV, 437 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8684-9 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Functional analysis Operator theory Analysis Theory Clasificación: 51 Matemáticas Resumen: This book is composed of three survey lecture courses and nineteen invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, which was held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The lecture courses are: Subalgebras of Graph C*-algebras, by Stephen Power: An introduction to two classes of non-selfadjoint operator algebras, the generalized analytic Toeplitz algebras associated with the Fock space of a graph and subalgebras of graph C*-algebras; C*-algebras and asymptotic spectral theory, by Bernd Silbermann: Three topics on numerical functional analysis that are the cornerstones in asymptotic spectral theory: stability, fractality and Fredholmness; Toeplitz operator algebras and complex analysis, by Harald Upmeier: A survey concerning Hilbert spaces of holomorphic functions on Hermitian symmetric domains of arbitrary rank and dimension, in relation to operator theory, harmonic analysis and quantization Nota de contenido: Summer School Lecture Notes -- Subalgebras of Graph C*-algebras -- C*-algebras and Asymptotic Spectral Theory -- Toeplitz Operator Algebras and Complex Analysis -- Workshop Contributed Articles -- Rotation Algebras and Continued Fractions -- On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols -- Diffraction by a Strip and by a Half-plane with Variable Face Impedances -- Factorization Algorithm for Some Special Matrix Functions -- On a Radon Transform -- Extensions of ?-C* -algebras -- Higher-order Asymptotic Formulas for Toeplitz Matrices with Symbols in Generalized Hölder Spaces -- Nonlocal Singular Integral Operators with Slowly Oscillating Data -- Poly-Bergman Projections and Orthogonal Decompositions of L 2-spaces Over Bounded Domains -- Vekua’s Generalized Singular Integral on Carleson Curves in Weighted Variable Lebesgue Spaces -- On Homotopical Non-invertibility of C*-extensions -- Galois-fixed Points and K-theory for GL(n) -- Spectral Factorization, Unstable Canonical Factorization, and Open Factorization Problems in Control Theory -- Compact Linear Operators Between Probabilistic Normed Spaces -- Essential Spectra of Pseudodifferential Operators and Exponential Decay of Their Solutions. Applications to Schrödinger Operators -- On Finite Sections of Band-dominated Operators -- Characterization of the Range of One-dimensional Fractional Integration in the Space with Variable Exponent -- Orbit Representations and Circle Maps -- On Generalized Spherical Fractional Integration Operators in Weighted Generalized Hölder Spaces on the Unit Sphere En línea: http://dx.doi.org/10.1007/978-3-7643-8684-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34405 Operator Algebras, Operator Theory and Applications [documento electrónico] / SpringerLink (Online service) ; Maria Amélia Bastos ; Amarino Brites Lebre ; Frank-Olme Speck ; Israel Gohberg . - Basel : Birkhäuser Basel, 2008 . - XIV, 437 p : online resource. - (Operator Theory: Advances and Applications; 181) .
ISBN : 978-3-7643-8684-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Functional analysis Operator theory Analysis Theory Clasificación: 51 Matemáticas Resumen: This book is composed of three survey lecture courses and nineteen invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, which was held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The lecture courses are: Subalgebras of Graph C*-algebras, by Stephen Power: An introduction to two classes of non-selfadjoint operator algebras, the generalized analytic Toeplitz algebras associated with the Fock space of a graph and subalgebras of graph C*-algebras; C*-algebras and asymptotic spectral theory, by Bernd Silbermann: Three topics on numerical functional analysis that are the cornerstones in asymptotic spectral theory: stability, fractality and Fredholmness; Toeplitz operator algebras and complex analysis, by Harald Upmeier: A survey concerning Hilbert spaces of holomorphic functions on Hermitian symmetric domains of arbitrary rank and dimension, in relation to operator theory, harmonic analysis and quantization Nota de contenido: Summer School Lecture Notes -- Subalgebras of Graph C*-algebras -- C*-algebras and Asymptotic Spectral Theory -- Toeplitz Operator Algebras and Complex Analysis -- Workshop Contributed Articles -- Rotation Algebras and Continued Fractions -- On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols -- Diffraction by a Strip and by a Half-plane with Variable Face Impedances -- Factorization Algorithm for Some Special Matrix Functions -- On a Radon Transform -- Extensions of ?-C* -algebras -- Higher-order Asymptotic Formulas for Toeplitz Matrices with Symbols in Generalized Hölder Spaces -- Nonlocal Singular Integral Operators with Slowly Oscillating Data -- Poly-Bergman Projections and Orthogonal Decompositions of L 2-spaces Over Bounded Domains -- Vekua’s Generalized Singular Integral on Carleson Curves in Weighted Variable Lebesgue Spaces -- On Homotopical Non-invertibility of C*-extensions -- Galois-fixed Points and K-theory for GL(n) -- Spectral Factorization, Unstable Canonical Factorization, and Open Factorization Problems in Control Theory -- Compact Linear Operators Between Probabilistic Normed Spaces -- Essential Spectra of Pseudodifferential Operators and Exponential Decay of Their Solutions. Applications to Schrödinger Operators -- On Finite Sections of Band-dominated Operators -- Characterization of the Range of One-dimensional Fractional Integration in the Space with Variable Exponent -- Orbit Representations and Circle Maps -- On Generalized Spherical Fractional Integration Operators in Weighted Generalized Hölder Spaces on the Unit Sphere En línea: http://dx.doi.org/10.1007/978-3-7643-8684-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34405 Ejemplares
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Título : Operator Algebras, Operator Theory and Applications : 18th International Workshop on Operator Theory and Applications, Potchefstroom, July 2007 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; J. J. Grobler ; L. E. Labuschagne ; M. Möller Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 195 Número de páginas: XI, 294 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0174-0 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Multivariable Operator-valued Nevanlinna-Pick Interpolation: a Survey -- On the Unit Ball of Operator-valued H 2-functions -- On an Interpolation Problem for Generalized Schur Functions -- The Algebra of ?-measurable Operators -- Holomorphic and Bergman-type Spaces -- A Time-variant Norm Constrained Interpolation Problem Arising from Relaxed Commutant Lifting -- Nowhere Density of the Set of Non-norm-attaining Functionals -- A Stochastic Double Product in Non-Fock Quantum Stochastic Calculus -- Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights -- Reverse Martingales in Riesz Spaces -- Contractivity of the H ?-calculus and Blaschke Products -- Invertibility in the Algebra of ?-measurable Operators -- Analyticity of Semigroups Related to a Class of Block Operator Matrices -- Derivations of ?-measurable Operators -- On Hyperinvariant Subspaces for Linear Maps of Real Vector Spaces En línea: http://dx.doi.org/10.1007/978-3-0346-0174-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33662 Operator Algebras, Operator Theory and Applications : 18th International Workshop on Operator Theory and Applications, Potchefstroom, July 2007 [documento electrónico] / SpringerLink (Online service) ; J. J. Grobler ; L. E. Labuschagne ; M. Möller . - Basel : Birkhäuser Basel, 2010 . - XI, 294 p : online resource. - (Operator Theory: Advances and Applications; 195) .
ISBN : 978-3-0346-0174-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Multivariable Operator-valued Nevanlinna-Pick Interpolation: a Survey -- On the Unit Ball of Operator-valued H 2-functions -- On an Interpolation Problem for Generalized Schur Functions -- The Algebra of ?-measurable Operators -- Holomorphic and Bergman-type Spaces -- A Time-variant Norm Constrained Interpolation Problem Arising from Relaxed Commutant Lifting -- Nowhere Density of the Set of Non-norm-attaining Functionals -- A Stochastic Double Product in Non-Fock Quantum Stochastic Calculus -- Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights -- Reverse Martingales in Riesz Spaces -- Contractivity of the H ?-calculus and Blaschke Products -- Invertibility in the Algebra of ?-measurable Operators -- Analyticity of Semigroups Related to a Class of Block Operator Matrices -- Derivations of ?-measurable Operators -- On Hyperinvariant Subspaces for Linear Maps of Real Vector Spaces En línea: http://dx.doi.org/10.1007/978-3-0346-0174-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33662 Ejemplares
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Título : Operator Theory, Analysis and Mathematical Physics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Jan Janas ; Pavel Kurasov ; Ari Laptev ; Sergei Naboko ; Günter Stolz Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Colección: Operator Theory: Advances and Applications num. 174 Número de páginas: VII, 260 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8135-6 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory Physics Analysis Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This volume contains lectures delivered by the participants of the international conference "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland on July 6-11, 2004. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs. Nota de contenido: Finiteness of Eigenvalues of the Perturbed Dirac Operator -- A Mathematical Study of Quantum Revivals and Quantum Fidelity -- On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model -- On the Spectrum of Partially Periodic Operators -- Functional Model for Singular Perturbations of Non-self-adjoint Operators -- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background -- Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod -- Inverse Spectral Problem for Quantum Graphs with Rationally Dependent Edges -- Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators -- Lyapunov Exponents at Anomalies of SL(2, ?)-actions -- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices -- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights -- On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces En línea: http://dx.doi.org/10.1007/978-3-7643-8135-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34701 Operator Theory, Analysis and Mathematical Physics [documento electrónico] / SpringerLink (Online service) ; Jan Janas ; Pavel Kurasov ; Ari Laptev ; Sergei Naboko ; Günter Stolz . - Basel : Birkhäuser Basel, 2007 . - VII, 260 p : online resource. - (Operator Theory: Advances and Applications; 174) .
ISBN : 978-3-7643-8135-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory Physics Analysis Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This volume contains lectures delivered by the participants of the international conference "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland on July 6-11, 2004. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs. Nota de contenido: Finiteness of Eigenvalues of the Perturbed Dirac Operator -- A Mathematical Study of Quantum Revivals and Quantum Fidelity -- On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model -- On the Spectrum of Partially Periodic Operators -- Functional Model for Singular Perturbations of Non-self-adjoint Operators -- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background -- Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod -- Inverse Spectral Problem for Quantum Graphs with Rationally Dependent Edges -- Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators -- Lyapunov Exponents at Anomalies of SL(2, ?)-actions -- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices -- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights -- On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces En línea: http://dx.doi.org/10.1007/978-3-7643-8135-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34701 Ejemplares
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