Operator Functions and Localization of Spectra

Häftad, Engelska, 2003

Del 1830 i serien Lecture Notes in Mathematics

534 kr

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Beskrivning

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

Utgivningsdatum:2003-11-17
Mått:155 x 235 x 16 mm
Vikt:423 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:262
Upplaga:2003
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540202462

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.