Spectral Representations of Linear Operator PDF Download

Author: Kurt Otto Friedrichs
Publisher:
ISBN:
Category : Algebra, Universal
Languages : en
Pages : 394

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Author: Kurt Otto Friedrichs
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 408

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Author: Vladimir Müller
Publisher: Springer Science & Business Media
ISBN: 3764382651
Category : Mathematics
Languages : en
Pages : 444

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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: Kurt Otto Friedrichs
Publisher:
ISBN:
Category :
Languages : en
Pages : 396

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Author:
Publisher:
ISBN:
Category : Linear operators
Languages : en
Pages : 386

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Author: Pavel Kurasov
Publisher: Springer Nature
ISBN: 3030315312
Category : Mathematics
Languages : en
Pages : 627

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Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.

Author: Vasile I. Istratescu
Publisher: CRC Press
ISBN: 1000146324
Category : Mathematics
Languages : en
Pages : 605

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This book is an introduction to the subject and is devoted to standard material on linear functional analysis, and presents some ergodic theorems for classes of operators containing the quasi-compact operators. It discusses various classes of operators connected with the numerical range.

Author: Francoise Chatelin
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482

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Originally published: New York: Academic Press, 1983.

Author: Henry R. Dowson
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 444

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Book Description
General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.

Author: Kurt O. Friedrichs
Publisher: Springer Science & Business Media
ISBN: 1461263964
Category : Mathematics
Languages : en
Pages : 253

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Book Description
The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation.