Invertibility and Singularity for Bounded Linear Operators PDF Download
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Author: Robin Harte
Publisher: Courier Dover Publications
ISBN: 0486810305
Category : Mathematics
Languages : en
Pages : 627
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Book Description
Originally published: New York: Marcel Dekker, Inc., 1988.
Author: Robin Harte
Publisher: Courier Dover Publications
ISBN: 0486810305
Category : Mathematics
Languages : en
Pages : 627
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Book Description
Originally published: New York: Marcel Dekker, Inc., 1988.
Author: Robin Harte
Publisher: Courier Dover Publications
ISBN: 0486817881
Category : Mathematics
Languages : en
Pages : 624
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Book Description
Suitable for courses in functional analysis and a valuble resource for researchers, this introductory treatment is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. 1988 edition.
Author: Robin Harte
Publisher: Springer Nature
ISBN: 3031139178
Category : Mathematics
Languages : en
Pages : 193
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Book Description
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
Author: Vladimir Müller
Publisher: Birkhäuser
ISBN: 3034877889
Category : Mathematics
Languages : en
Pages : 390
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Book Description
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.
Author: VV.AA.
Publisher: Ed. Universidad de Cantabria
ISBN: 9788487412400
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Author: Ronald Cross
Publisher: CRC Press
ISBN: 9780824702199
Category : Mathematics
Languages : en
Pages : 356
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Book Description
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.
Author: Carlos S. Kubrusly
Publisher: Springer Nature
ISBN: 3030331490
Category : Mathematics
Languages : en
Pages : 249
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Book Description
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.
Author: Eberhard Malkowsky
Publisher: CRC Press
ISBN: 0429809549
Category : Mathematics
Languages : en
Pages : 532
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Book Description
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
Author: Dragana S. Cvetković Ilić
Publisher: American Mathematical Society
ISBN: 1470469871
Category : Mathematics
Languages : en
Pages : 170
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Book Description
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.
Author: Carlos S. Kubrusly
Publisher: Springer Science & Business Media
ISBN: 0817683283
Category : Mathematics
Languages : en
Pages : 197
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Book Description
This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field.
