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Operator Functions and Localization of Spectra de Michael I. Gil

Operator Functions and Localization of Spectra: Lecture Notes in Mathematics, cartea 1830

Autor Michael I. Gil
en Limba Engleză Paperback – 17 noi 2003
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.
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Specificații

ISBN-13: 9783540202462
ISBN-10: 3540202463
Pagini: 276
Ilustrații: XIV, 262 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.41 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

"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.