Del 1830 - Lecture Notes in Mathematics

Operator Functions and Localization of Spectra

Häftad, Engelska, 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.

Produktinformation

Utgivningsdatum2003-11-17
Mått155 x 235 x 16 mm
Vikt423 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor262
Upplaga2003
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540202462

Tillhör följande kategorier

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.