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Author: I. Gohberg
Publisher: Birkhäuser
ISBN: 3034885326
Category : Mathematics
Languages : en
Pages : 241
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Book Description
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.
Author: I. Gohberg
Publisher: Birkhäuser
ISBN: 3034885326
Category : Mathematics
Languages : en
Pages : 241
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Book Description
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.
Author: Israel Gohberg
Publisher: Birkhauser
ISBN: 9783764350918
Category : Functions of complex variables
Languages : en
Pages : 211
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Book Description
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.
Author: Michael Gil
Publisher: CRC Press
ISBN: 1000445038
Category : Mathematics
Languages : en
Pages : 376
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Book Description
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.
Author: Michael Gil
Publisher: CRC Press
ISBN: 9780824796099
Category : Mathematics
Languages : en
Pages : 376
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Book Description
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.
Author: Michael Gil'
Publisher: World Scientific
ISBN: 9813221283
Category : Mathematics
Languages : en
Pages : 260
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Book Description
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.
Author: Damir Z. Arov
Publisher: Cambridge University Press
ISBN: 0521883008
Category : Mathematics
Languages : en
Pages : 576
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Book Description
A comprehensive introduction to the theory of J-contractive and J-inner matrix valued functions with respect to the open upper half-plane and a number of applications of this theory. It will be of particular interest to those with an interest in operator theory and matrix analysis.
Author: Walter Roth
Publisher: Springer
ISBN: 3540875654
Category : Mathematics
Languages : en
Pages : 370
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Book Description
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.
Author: J. William Helton
Publisher: American Mathematical Soc.
ISBN: 0821807188
Category : Mathematics
Languages : en
Pages : 152
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Book Description
Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.
Author: Michael I. Gil
Publisher: Springer
ISBN: 3540452257
Category : Mathematics
Languages : en
Pages : 261
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Book Description
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.
Author: H. Bart
Publisher: Birkhäuser
ISBN: 3034856725
Category : Science
Languages : en
Pages : 383
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Book Description
