Invertibility And Singularity For Bounded Linear Operators

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Invertibility And Singularity For Bounded Linear Operators

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Author : Robin Harte
language : en
Publisher: Courier Dover Publications
Release Date : 2016-10-20

Invertibility And Singularity For Bounded Linear Operators written by Robin Harte and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Mathematics categories.

Originally published: New York: Marcel Dekker, Inc., 1988.

Completion Problems On Operator Matrices

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Author : Dragana S. Cvetković Ilić
language : en
Publisher: American Mathematical Society
Release Date : 2022-06-07

Completion Problems On Operator Matrices written by Dragana S. Cvetković Ilić and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-07 with Mathematics categories.

Completion problems for operator matrices are concerned with the question of whether a partially specified operator matrix can be completed to form an operator of a desired type. The research devoted to this topic provides an excellent means to investigate the structure of operators. This book provides an overview of completion problems dealing with completions to different types of operators and can be considered as a natural extension of classical results concerned with matrix completions. The book assumes some basic familiarity with functional analysis and operator theory. It will be useful for graduate students and researchers interested in operator theory and the problem of matrix completions.

Spectral Theory Of Bounded Linear Operators

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Author : Carlos S. Kubrusly
language : en
Publisher: Springer Nature
Release Date : 2020-01-30

Spectral Theory Of Bounded Linear Operators written by Carlos S. Kubrusly and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-30 with Mathematics categories.

This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered. Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.

Spectral Theory Of Linear Operators And Spectral Systems In Banach Algebras

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Author : Vladimir Müller
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11

Spectral Theory Of Linear Operators And Spectral Systems In Banach Algebras written by Vladimir Müller and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

Spectral Mapping Theorems

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Author : Robin Harte
language : en
Publisher: Springer Nature
Release Date : 2023-04-03

Spectral Mapping Theorems written by Robin Harte and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-03 with Mathematics categories.

Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging style of the first. Starting with a summary of the basic algebraic systems – semigroups, rings and linear algebras – the book quickly turns to topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Key aspects of spectral theory are covered, in one and several variables. Finally the case of an arbitrary set of variables is discussed. Spectral Mapping Theorems is an accessible and easy-to-read guide, providing a convenient overview of the topic to both students and researchers. From the reviews of the first edition "I certainly plan to add it to my own mathematical library" — Anthony Wickstead in the Irish Mathematical Society Bulletin "An excellent read" — Milena Stanislavova in the Mathematical Reviews "[Offers] a fresh perspective even for experts [...] Recommended" — David Feldman in Choice

Fredholm And Invertible Tuples Of Bounded Linear Operators

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Author : Raul Enrique Curto
language : en
Publisher:
Release Date : 1978

Fredholm And Invertible Tuples Of Bounded Linear Operators written by Raul Enrique Curto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Linear operators categories.

Aportaciones Matem Ticas

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Author : VV.AA.
language : en
Publisher: Ed. Universidad de Cantabria
Release Date : 1991

Aportaciones Matem Ticas written by VV.AA. and has been published by Ed. Universidad de Cantabria this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Multivalued Linear Operators

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Author : Ronald Cross
language : en
Publisher: CRC Press
Release Date : 1998-07-09

Multivalued Linear Operators written by Ronald Cross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-09 with Mathematics categories.

Constructs a theoretical framework for the study of linear relations and provides underlying concepts, rules, formulae, theorems and techniques. The book compares the inversion, adjoints, completion and closure of various classes of linear operators. It highlights compact and precompact relations.

Algebraic Properties Of Generalized Inverses

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Author : Dragana S. Cvetković‐Ilić
language : en
Publisher: Springer
Release Date : 2017-10-07

Algebraic Properties Of Generalized Inverses written by Dragana S. Cvetković‐Ilić and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-07 with Mathematics categories.

This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.

Advanced Functional Analysis

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Author : Eberhard Malkowsky
language : en
Publisher: CRC Press
Release Date : 2019-02-25

Advanced Functional Analysis written by Eberhard Malkowsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research