Operator Functions and Localization of Spectra by Michael I. GilOperator Functions and Localization of Spectra by Michael I. Gil

Operator Functions and Localization of Spectra

byMichael I. Gil

Paperback | November 17, 2003

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Operator Functions and Localization of Spectrais 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.

Title:Operator Functions and Localization of SpectraFormat:PaperbackDimensions:262 pagesPublished:November 17, 2003Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540202463

ISBN - 13:9783540202462

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Table of Contents

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.