Operator theory nonclassical problems by S. G. Pyatkov

Cover of: Operator theory | S. G. Pyatkov

Published by VSP in Utrecht, Boston .

Written in English

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Subjects:

  • Operator theory.,
  • Interpolation spaces.,
  • Nonclassical mathematical logic.,
  • Banach spaces.

Edition Notes

Includes bibliographical references (p. [323]-346) and index.

Book details

StatementS.G. Pyatkov.
SeriesInverse and ill-posed problems series,
Classifications
LC ClassificationsQA329 .P93 2002
The Physical Object
Paginationix, 346 p. ;
Number of Pages346
ID Numbers
Open LibraryOL3657601M
ISBN 109067643637
LC Control Number2002512416
OCLC/WorldCa50053006

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) Includes bibliographical references and index. ISBN (alk. paper) 1. Operator theory. Toeplitz operators. Hankel operators. Functions of complex variables. Function spaces. Title. CHAPTER 1. FREDHOLM THEORY Preliminaries Let X and Y be complex Banach spaces.

Write B(X;Y) for the set of bounded linear operators from X to Y and abbreviate B(X;X) to B(X).If T 2 B(X) write ‰(T) for the resolvent set of T; ¾(T) for the spectrum of T; 0(T) for the set of eigenvalues of T.

We begin with: Deflnition Let X be a normed space and let X⁄ be the dual space of Size: 1MB. The text is constructed in such a way that instructors have the option whether to include more advanced topics.

Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level : Birkhäuser Basel. Author: Arch W. Naylor,George R. Sell; Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This book is a unique introduction to the theory of linear operators on Hilbert space.

The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians.

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After providing the basic definition of random norm of random bounded linear operators, the book then delves into the study of random operator theory, with final sections. Integral Equations and Operator Theory (IEOT) is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory.

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This text covers the central themes of operator theory. It is suitable for graduate students who have had a standard course in functional analysis/5(6). The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics.

Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators. This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis.

Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory.

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This last property can be seen by introducing the inverse graph of A, Γ0(A) = {(x,y) ∈ B × B|y∈ D,x= Ay} and noticing that Aclosed iff Γ 0(A) is closed and Γ(A) = Γ(A−1). The notion of spectrum of operators is a Cited by: 3.

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Applications of Functional Analysis and Operator Theory. Edited by V. Hutson, J.S select article Chapter 3 Foundations of Linear Operator Theory.

Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space.

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