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AuthorYafaev, Dmitri R. author
TitleOperator Functions and Localization of Spectra [electronic resource] / by Michael I. Gil'
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2003
Connect tohttp://dx.doi.org/10.1007/b93845
Descript XIV, 262 p. online resource

SUMMARY

"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


CONTENT

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


Mathematics Matrix theory Algebra Functions of complex variables Integral equations Operator theory Mathematics Operator Theory Linear and Multilinear Algebras Matrix Theory Functions of a Complex Variable Integral Equations



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