Matrix And Operator Valued Functions
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Matrix And Operator Valued Functions
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Matrix And Operator Valued Functions written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.
Matrix And Operator Valued Functions
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Author : Israel Gohberg
language : en
Publisher: Birkhauser
Release Date : 1994-01-01
Matrix And Operator Valued Functions written by Israel Gohberg and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Functions of complex variables categories.
This book is dedicated to the memory of an outstanding mathematician and personality, Vladimir Petrovich Potapov, who made important contributions to and exerted considerable influence in the areas of operator theory, complex analysis and their points of juncture. The book commences with insightful biographical material, and then presents a collection of papers on different aspects of operator theory and complex analysis covering those recent achievements of the Odessa-Kharkov school in which Potapov was very active. The papers deal with interrelated problems and methods. The main topics are the multiplicative structure of contractive matrix and operator functions, operators in spaces with indefinite scalar products, inverse problems for systems of differential equations, interpolation and approximation problems for operator and matrix functions. The book will appeal to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.
Norm Estimations For Operator Valued Functions And Their Applications
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Author : Michael Gil
language : en
Publisher: CRC Press
Release Date : 1995-08-16
Norm Estimations For Operator Valued Functions And Their Applications written by Michael Gil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-16 with Mathematics categories.
Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.
Operator Functions And Operator Equations
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Author : Michael Gil'
language : en
Publisher: World Scientific
Release Date : 2017-09-08
Operator Functions And Operator Equations written by Michael Gil' and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Mathematics categories.
This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.
Norm Estimations For Operator Valued Functions And Their Applications
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Author : Michael Gil
language : en
Publisher: CRC Press
Release Date : 2021-06-30
Norm Estimations For Operator Valued Functions And Their Applications written by Michael Gil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with Mathematics categories.
Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.
Eigenvectors Of Matrix And Operator Valued Functions And Several Factorization Problems
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Author : Ilya Krupnik
language : en
Publisher:
Release Date : 1994
Eigenvectors Of Matrix And Operator Valued Functions And Several Factorization Problems written by Ilya Krupnik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Eigenvectors categories.
Operator Functions And Localization Of Spectra
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Author : Michael I. Gil
language : en
Publisher: Springer
Release Date : 2003-12-09
Operator Functions And Localization Of Spectra written by Michael I. Gil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-09 with Mathematics categories.
Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
Operator Valued Measures And Integrals For Cone Valued Functions
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Author : Walter Roth
language : en
Publisher: Springer
Release Date : 2008-12-17
Operator Valued Measures And Integrals For Cone Valued Functions written by Walter Roth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-17 with Mathematics categories.
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.
Operator Theory Analytic Functions Matrices And Electrical Engineering
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Author : J. William Helton
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Operator Theory Analytic Functions Matrices And Electrical Engineering written by J. William Helton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.
Matrix Convolution Operators On Groups
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Author : Cho-Ho Chu
language : en
Publisher: Springer
Release Date : 2008-08-15
Matrix Convolution Operators On Groups written by Cho-Ho Chu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-15 with Mathematics categories.
In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.