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Operator Functions and Localization of Spectra : Lecture Notes in Mathematics - Michael I. Gil'

Operator Functions and Localization of Spectra

Lecture Notes in Mathematics

Paperback

Published: 17th November 2003
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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.

Preface
Preliminaries
Norms of Matrix-Valued Functions
Invertibility of Finite Matrices
Localization of Eigenvalues of Finite Matrices
Block Matrices and pi-triangular Matrices
Norm Estimates for Functions
Functions of Non-Compact Operators
Bounded Perturbations of Nonself-Adjoint Operators
Spectrum Localization of Nonself-Adjoint Operators
Multiplicative Representations of Resolvents
Relatively $P$-triangular Operators
Relatively Compact Perturbations of Normal Operators
Infinite Matrices in Hilbert Spaces and Differential Operators
Integral Operators in L2
Operator Matrices
Hille - Tamarkin Integral Operators
Integral Operators in L8
Hille - Tamarkin Matrices
Zeros of Entire Functions
List of Main Symbols
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540202462
ISBN-10: 3540202463
Series: Lecture Notes in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 262
Published: 17th November 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.52
Weight (kg): 0.42