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Autor Silbermann, Bernd |
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Título : Analysis of Toeplitz Operators Tipo de documento: documento electrónico Autores: Albrecht Böttcher ; SpringerLink (Online service) ; Silbermann, Bernd Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: XIV, 665 p. 15 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-32436-2 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory Probabilities Physics Theory Analysis Theoretical, Mathematical and Computational Probability Stochastic Processes Clasificación: 51 Matemáticas Resumen: Since the late 1980s, Toeplitz operators and matrices have remained a ?eld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller’s grandiose book on Hankel ope- tors and their applications and Nikolski’s beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz. They also include books by the authors together withHagen,Roch,Yu.Karlovich,Spitkovsky,Grudsky,andRabinovich.Thus, results, techniques, and developments in the ?eld of Toeplitz operators are now well presented in the monographic literature. Despite these competitive works, we felt that large parts of the ?rst edition of the present monograp- whichismeanwhileoutofstock-havenotlosttheirfascinationandrelevance. Moreover, the ?rst edition has received a warm reception by many colleagues and became a standard reference. This encouraged us to venture on thinking about a second edition, and we are grateful to the Springer Publishing House for showing an interest in this Nota de contenido: Auxiliary Material -- Basic Theory -- Symbol Analysis -- Toeplitz Operators on H2 -- Toeplitz Operators on Hp -- Toeplitz Operators on ?p -- Finite Section Method -- Toeplitz Operators over the Quarter-Plane -- Wiener-Hopf Integral Operators -- Toeplitz Determinants En línea: http://dx.doi.org/10.1007/3-540-32436-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34944 Analysis of Toeplitz Operators [documento electrónico] / Albrecht Böttcher ; SpringerLink (Online service) ; Silbermann, Bernd . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XIV, 665 p. 15 illus : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-3-540-32436-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory Probabilities Physics Theory Analysis Theoretical, Mathematical and Computational Probability Stochastic Processes Clasificación: 51 Matemáticas Resumen: Since the late 1980s, Toeplitz operators and matrices have remained a ?eld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller’s grandiose book on Hankel ope- tors and their applications and Nikolski’s beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz. They also include books by the authors together withHagen,Roch,Yu.Karlovich,Spitkovsky,Grudsky,andRabinovich.Thus, results, techniques, and developments in the ?eld of Toeplitz operators are now well presented in the monographic literature. Despite these competitive works, we felt that large parts of the ?rst edition of the present monograp- whichismeanwhileoutofstock-havenotlosttheirfascinationandrelevance. Moreover, the ?rst edition has received a warm reception by many colleagues and became a standard reference. This encouraged us to venture on thinking about a second edition, and we are grateful to the Springer Publishing House for showing an interest in this Nota de contenido: Auxiliary Material -- Basic Theory -- Symbol Analysis -- Toeplitz Operators on H2 -- Toeplitz Operators on Hp -- Toeplitz Operators on ?p -- Finite Section Method -- Toeplitz Operators over the Quarter-Plane -- Wiener-Hopf Integral Operators -- Toeplitz Determinants En línea: http://dx.doi.org/10.1007/3-540-32436-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34944 Ejemplares
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Título : Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach Tipo de documento: documento electrónico Autores: Victor D. Didenko ; SpringerLink (Online service) ; Silbermann, Bernd Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Frontiers in Mathematics, ISSN 1660-8046 Número de páginas: XII, 306 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8751-8 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Integral equations transforms Operational calculus Operator theory Partial differential Numerical analysis Theory Analysis Equations Transforms, Calculus Differential Clasificación: 51 Matemáticas Resumen: Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive – i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are R-linear provided they are continuous Nota de contenido: Complex and Real Algebras -- Approximation of Additive Integral Operators on Smooth Curves -- Approximation Methods for the Riemann-Hilbert Problem -- Piecewise Smooth and Open Contours -- Approximation Methods for the Muskhelishvili Equation -- Numerical Examples En línea: http://dx.doi.org/10.1007/978-3-7643-8751-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34416 Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach [documento electrónico] / Victor D. Didenko ; SpringerLink (Online service) ; Silbermann, Bernd . - Basel : Birkhäuser Basel, 2008 . - XII, 306 p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-7643-8751-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Integral equations transforms Operational calculus Operator theory Partial differential Numerical analysis Theory Analysis Equations Transforms, Calculus Differential Clasificación: 51 Matemáticas Resumen: Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive – i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are R-linear provided they are continuous Nota de contenido: Complex and Real Algebras -- Approximation of Additive Integral Operators on Smooth Curves -- Approximation Methods for the Riemann-Hilbert Problem -- Piecewise Smooth and Open Contours -- Approximation Methods for the Muskhelishvili Equation -- Numerical Examples En línea: http://dx.doi.org/10.1007/978-3-7643-8751-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34416 Ejemplares
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Título : Non-commutative Gelfand Theories : A Tool-kit for Operator Theorists and Numerical Analysts Tipo de documento: documento electrónico Autores: Roch, Steffen ; SpringerLink (Online service) ; Santos, Pedro A ; Silbermann, Bernd Editorial: London : Springer London Fecha de publicación: 2011 Colección: Universitext, ISSN 0172-5939 Número de páginas: XIV, 383p. 14 illus., 2 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-85729-183-7 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Functional Integral equations Operator theory Numerical Analysis Equations Theory Clasificación: 51 Matemáticas Resumen: Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras Nota de contenido: Banach algebras -- Local principles -- Banach algebras generated by idempotents -- Singular integral operators -- Convolution operators -- Algebras of operator sequences En línea: http://dx.doi.org/10.1007/978-0-85729-183-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33125 Non-commutative Gelfand Theories : A Tool-kit for Operator Theorists and Numerical Analysts [documento electrónico] / Roch, Steffen ; SpringerLink (Online service) ; Santos, Pedro A ; Silbermann, Bernd . - London : Springer London, 2011 . - XIV, 383p. 14 illus., 2 illus. in color : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-0-85729-183-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Functional Integral equations Operator theory Numerical Analysis Equations Theory Clasificación: 51 Matemáticas Resumen: Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras Nota de contenido: Banach algebras -- Local principles -- Banach algebras generated by idempotents -- Singular integral operators -- Convolution operators -- Algebras of operator sequences En línea: http://dx.doi.org/10.1007/978-0-85729-183-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33125 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Operator Theory, Pseudo-Differential Equations, and Mathematical Physics / SpringerLink (Online service) ; Yuri I. Karlovich ; Rodino, Luigi ; Silbermann, Bernd ; Ilya M. Spitkovsky (2013)
Título : Operator Theory, Pseudo-Differential Equations, and Mathematical Physics : The Vladimir Rabinovich Anniversary Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Yuri I. Karlovich ; Rodino, Luigi ; Silbermann, Bernd ; Ilya M. Spitkovsky Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Operator Theory: Advances and Applications, ISSN 0255-0156 num. 228 Número de páginas: XXVI, 410 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0537-7 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich’s works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich’s research interests. Many of them are written by participants of the international workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics Nota de contenido: Preface -- Contributions by renowned scientists -- References En línea: http://dx.doi.org/10.1007/978-3-0348-0537-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32429 Operator Theory, Pseudo-Differential Equations, and Mathematical Physics : The Vladimir Rabinovich Anniversary Volume [documento electrónico] / SpringerLink (Online service) ; Yuri I. Karlovich ; Rodino, Luigi ; Silbermann, Bernd ; Ilya M. Spitkovsky . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XXVI, 410 p : online resource. - (Operator Theory: Advances and Applications, ISSN 0255-0156; 228) .
ISBN : 978-3-0348-0537-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich’s works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich’s research interests. Many of them are written by participants of the international workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics Nota de contenido: Preface -- Contributions by renowned scientists -- References En línea: http://dx.doi.org/10.1007/978-3-0348-0537-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32429 Ejemplares
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