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Título : Algebraic Multiplicity of Eigenvalues of Linear Operators Tipo de documento: documento electrónico Autores: López-Gómez, J ; SpringerLink (Online service) ; Mora-Corral, C Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Colección: Operator Theory: Advances and Applications num. 177 Número de páginas: XXII, 310 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8401-2 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Functional analysis Operator Physics Analysis Linear and Multilinear Algebras, Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This book brings together all the most important known results of research into the theory of algebraic multiplicities, from well-known classics like the Jordan Theorem to recent developments such as the uniqueness theorem and the construction of multiplicity for non-analytic families, which is presented in this monograph for the first time. Part I (the first three chapters) is a classic course on finite-dimensional spectral theory; Part II (the next eight chapters) contains the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families; and Part III (the last chapter) transfers these results from linear to nonlinear analysis. The text is as self-contained as possible. All the results are established in a finite-dimensional setting, if necessary. Furthermore, the structure and style of the book make it easy to access some of the most important and recent developments. Thus the material appeals to a broad audience, ranging from advanced undergraduates (in particular Part I) to graduates, postgraduates and reseachers who will enjoy the latest developments in the real non-analytic case (Part II) Nota de contenido: Finite-dimensional Classic Spectral Theory -- The Jordan Theorem -- Operator Calculus -- Spectral Projections -- Algebraic Multiplicities -- Algebraic Multiplicity Through Transversalization -- Algebraic Multiplicity Through Polynomial Factorization -- Uniqueness of the Algebraic Multiplicity -- Algebraic Multiplicity Through Jordan Chains. Smith Form -- Analytic and Classical Families. Stability -- Algebraic Multiplicity Through Logarithmic Residues -- The Spectral Theorem for Matrix Polynomials -- Further Developments of the Algebraic Multiplicity -- Nonlinear Spectral Theory -- Nonlinear Eigenvalues En línea: http://dx.doi.org/10.1007/978-3-7643-8401-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34714 Algebraic Multiplicity of Eigenvalues of Linear Operators [documento electrónico] / López-Gómez, J ; SpringerLink (Online service) ; Mora-Corral, C . - Basel : Birkhäuser Basel, 2007 . - XXII, 310 p : online resource. - (Operator Theory: Advances and Applications; 177) .
ISBN : 978-3-7643-8401-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Functional analysis Operator Physics Analysis Linear and Multilinear Algebras, Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This book brings together all the most important known results of research into the theory of algebraic multiplicities, from well-known classics like the Jordan Theorem to recent developments such as the uniqueness theorem and the construction of multiplicity for non-analytic families, which is presented in this monograph for the first time. Part I (the first three chapters) is a classic course on finite-dimensional spectral theory; Part II (the next eight chapters) contains the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families; and Part III (the last chapter) transfers these results from linear to nonlinear analysis. The text is as self-contained as possible. All the results are established in a finite-dimensional setting, if necessary. Furthermore, the structure and style of the book make it easy to access some of the most important and recent developments. Thus the material appeals to a broad audience, ranging from advanced undergraduates (in particular Part I) to graduates, postgraduates and reseachers who will enjoy the latest developments in the real non-analytic case (Part II) Nota de contenido: Finite-dimensional Classic Spectral Theory -- The Jordan Theorem -- Operator Calculus -- Spectral Projections -- Algebraic Multiplicities -- Algebraic Multiplicity Through Transversalization -- Algebraic Multiplicity Through Polynomial Factorization -- Uniqueness of the Algebraic Multiplicity -- Algebraic Multiplicity Through Jordan Chains. Smith Form -- Analytic and Classical Families. Stability -- Algebraic Multiplicity Through Logarithmic Residues -- The Spectral Theorem for Matrix Polynomials -- Further Developments of the Algebraic Multiplicity -- Nonlinear Spectral Theory -- Nonlinear Eigenvalues En línea: http://dx.doi.org/10.1007/978-3-7643-8401-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34714 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Analysis, Partial Differential Equations and Applications / SpringerLink (Online service) ; Alberto Cialdea ; Ricci, Paolo Emilio ; Lanzara, Flavia (2009)
Título : Analysis, Partial Differential Equations and Applications : The Vladimir Maz’ya Anniversary Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Alberto Cialdea ; Ricci, Paolo Emilio ; Lanzara, Flavia Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: Operator Theory: Advances and Applications num. 193 Número de páginas: XVII, 334 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-9898-9 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume includes several invited lectures given at the International Workshop "Analysis, Partial Differential Equations and Applications", held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis. The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties of sciences and engineering. In fact, all articles were inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolic and parabolic operators, Schrödinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory. Maz'ya is author of more than 450 papers and 20 books. In his long career he obtained many astonishing and frequently cited results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with bounded variation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya Nota de contenido: On the Occasion of the 70th Birthday of Vladimir Maz’ya -- Boundary Trace for BV Functions in Regions with Irregular Boundary -- Dirac Equation as a Special Case of Cosserat Elasticity -- Hölder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDE’s -- Criteria for the L p -dissipativity of Partial Differential Operators -- Sharp Estimates for Nonlinear Potentials and Applications -- Solvability Conditions for a Discrete Model of Schrödinger’s Equation -- An Algebra of Shift-invariant Singular Integral Operators with Slowly Oscillating Data and Its Application to Operators with a Carleman Shift -- Frozen History: Reconstructing the Climate of the Past -- Multidimensional Harmonic Functions Analogues of Sharp Real-part Theorems in Complex Function Theory -- Cubature of Integral Operators by Approximate Quasi-interpolation -- Pointwise Estimates for the Polyharmonic Green Function in General Domains -- On Elliptic Operators in Nondivergence and in Double Divergence Form -- On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains -- On Negative Spectrum of Schrödinger Type Operators -- ACL-homeomorphisms in the Plane -- Crack Problems for Composite Structures -- On Positive Solutions of p-Laplacian-type Equations -- Mixed Boundary Value Problems for Stokes and Navier-Stokes Systems in Polyhedral Domains -- On Some Classical Operators of Variable Order in Variable Exponent Spaces -- Irregular Conductive Layers -- On the Double Layer Potential En línea: http://dx.doi.org/10.1007/978-3-7643-9898-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34104 Analysis, Partial Differential Equations and Applications : The Vladimir Maz’ya Anniversary Volume [documento electrónico] / SpringerLink (Online service) ; Alberto Cialdea ; Ricci, Paolo Emilio ; Lanzara, Flavia . - Basel : Birkhäuser Basel, 2009 . - XVII, 334 p : online resource. - (Operator Theory: Advances and Applications; 193) .
ISBN : 978-3-7643-9898-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume includes several invited lectures given at the International Workshop "Analysis, Partial Differential Equations and Applications", held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis. The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties of sciences and engineering. In fact, all articles were inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolic and parabolic operators, Schrödinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory. Maz'ya is author of more than 450 papers and 20 books. In his long career he obtained many astonishing and frequently cited results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with bounded variation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya Nota de contenido: On the Occasion of the 70th Birthday of Vladimir Maz’ya -- Boundary Trace for BV Functions in Regions with Irregular Boundary -- Dirac Equation as a Special Case of Cosserat Elasticity -- Hölder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDE’s -- Criteria for the L p -dissipativity of Partial Differential Operators -- Sharp Estimates for Nonlinear Potentials and Applications -- Solvability Conditions for a Discrete Model of Schrödinger’s Equation -- An Algebra of Shift-invariant Singular Integral Operators with Slowly Oscillating Data and Its Application to Operators with a Carleman Shift -- Frozen History: Reconstructing the Climate of the Past -- Multidimensional Harmonic Functions Analogues of Sharp Real-part Theorems in Complex Function Theory -- Cubature of Integral Operators by Approximate Quasi-interpolation -- Pointwise Estimates for the Polyharmonic Green Function in General Domains -- On Elliptic Operators in Nondivergence and in Double Divergence Form -- On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains -- On Negative Spectrum of Schrödinger Type Operators -- ACL-homeomorphisms in the Plane -- Crack Problems for Composite Structures -- On Positive Solutions of p-Laplacian-type Equations -- Mixed Boundary Value Problems for Stokes and Navier-Stokes Systems in Polyhedral Domains -- On Some Classical Operators of Variable Order in Variable Exponent Spaces -- Irregular Conductive Layers -- On the Double Layer Potential En línea: http://dx.doi.org/10.1007/978-3-7643-9898-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34104 Ejemplares
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Título : Boundary Integral Equations on Contours with Peaks Tipo de documento: documento electrónico Autores: Maz’ya, Vladimir G ; SpringerLink (Online service) ; Soloviev, Alexander A ; Tatyana O. Shaposhnikova Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 196 Número de páginas: XI, 344 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0171-9 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Equations Clasificación: 51 Matemáticas Nota de contenido: Lp-theory of Boundary Integral Equations on a Contour with Peak -- Boundary Integral Equations in Hölder Spaces on a Contour with Peak -- Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks -- Integral Equations of Plane Elasticity in Domains with Peak En línea: http://dx.doi.org/10.1007/978-3-0346-0171-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33661 Boundary Integral Equations on Contours with Peaks [documento electrónico] / Maz’ya, Vladimir G ; SpringerLink (Online service) ; Soloviev, Alexander A ; Tatyana O. Shaposhnikova . - Basel : Birkhäuser Basel, 2010 . - XI, 344 p : online resource. - (Operator Theory: Advances and Applications; 196) .
ISBN : 978-3-0346-0171-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Equations Clasificación: 51 Matemáticas Nota de contenido: Lp-theory of Boundary Integral Equations on a Contour with Peak -- Boundary Integral Equations in Hölder Spaces on a Contour with Peak -- Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks -- Integral Equations of Plane Elasticity in Domains with Peak En línea: http://dx.doi.org/10.1007/978-3-0346-0171-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33661 Ejemplares
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Título : Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Vinnikov, Victor Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 197 Número de páginas: VIII, 392 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0183-2 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Differential-difference Equations in Entire Functions -- Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator -- Bi-Isometries and Commutant Lifting -- The One-sided Ergodic Hilbert Transform of Normal Contractions -- Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations -- Pick Matrices for Schur Multipliers -- The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems -- Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms -- The Schur Algorithm in Terms of System Realizations -- On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences -- A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure -- Integral Equations in the Theory of Levy Processes -- ?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions En línea: http://dx.doi.org/10.1007/978-3-0346-0183-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33665 Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Vinnikov, Victor . - Basel : Birkhäuser Basel, 2010 . - VIII, 392 p : online resource. - (Operator Theory: Advances and Applications; 197) .
ISBN : 978-3-0346-0183-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Differential-difference Equations in Entire Functions -- Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator -- Bi-Isometries and Commutant Lifting -- The One-sided Ergodic Hilbert Transform of Normal Contractions -- Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations -- Pick Matrices for Schur Multipliers -- The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems -- Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms -- The Schur Algorithm in Terms of System Realizations -- On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences -- A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure -- Integral Equations in the Theory of Levy Processes -- ?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions En línea: http://dx.doi.org/10.1007/978-3-0346-0183-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33665 Ejemplares
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Título : Commutative Algebras of Toeplitz Operators on the Bergman Space Tipo de documento: documento electrónico Autores: Nikolai L. Vasilevski ; SpringerLink (Online service) Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Operator Theory: Advances and Applications num. 185 Número de páginas: XXIX, 418 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8726-6 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory a Complex Variable Analysis Clasificación: 51 Matemáticas Resumen: This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces. The presence and exploitation of these spectral type representations forms the core for many results presented in the book. Among other results it contains a criterion of when the algebras are commutative on each commonly considered weighted Bergman space together with their explicit descriptions; a systematic study of Toeplitz operators with unbounded symbols; a clarification of the difference between compactness of commutators and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral properties of Toeplitz operators. The book is addressed to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in complex analysis and operator theory. Nota de contenido: Preliminaries -- Prologue -- Bergman and Poly-Bergman Spaces -- Bergman Type Spaces on the Unit Disk -- Toeplitz Operators with Commutative Symbol Algebras -- Toeplitz Operators on the Unit Disk with Radial Symbols -- Toeplitz Operators on the Upper Half-Plane with Homogeneous Symbols -- Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols -- Commuting Toeplitz Operators and Hyperbolic Geometry -- Weighted Bergman Spaces -- Commutative Algebras of Toeplitz Operators -- Dynamics of Properties of Toeplitz Operators with Radial Symbols -- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Parabolic Case -- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Hyperbolic Case En línea: http://dx.doi.org/10.1007/978-3-7643-8726-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34411 Commutative Algebras of Toeplitz Operators on the Bergman Space [documento electrónico] / Nikolai L. Vasilevski ; SpringerLink (Online service) . - Basel : Birkhäuser Basel, 2008 . - XXIX, 418 p : online resource. - (Operator Theory: Advances and Applications; 185) .
ISBN : 978-3-7643-8726-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory a Complex Variable Analysis Clasificación: 51 Matemáticas Resumen: This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces. The presence and exploitation of these spectral type representations forms the core for many results presented in the book. Among other results it contains a criterion of when the algebras are commutative on each commonly considered weighted Bergman space together with their explicit descriptions; a systematic study of Toeplitz operators with unbounded symbols; a clarification of the difference between compactness of commutators and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral properties of Toeplitz operators. The book is addressed to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in complex analysis and operator theory. Nota de contenido: Preliminaries -- Prologue -- Bergman and Poly-Bergman Spaces -- Bergman Type Spaces on the Unit Disk -- Toeplitz Operators with Commutative Symbol Algebras -- Toeplitz Operators on the Unit Disk with Radial Symbols -- Toeplitz Operators on the Upper Half-Plane with Homogeneous Symbols -- Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols -- Commuting Toeplitz Operators and Hyperbolic Geometry -- Weighted Bergman Spaces -- Commutative Algebras of Toeplitz Operators -- Dynamics of Properties of Toeplitz Operators with Radial Symbols -- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Parabolic Case -- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Hyperbolic Case En línea: http://dx.doi.org/10.1007/978-3-7643-8726-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34411 Ejemplares
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