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Operator functions and localization of spectra /

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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, diffe...

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Bibliographic Details
Main Author: Gilʹ, M. I. (Mikhail Iosifovich)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [2003]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1830.
Subjects:
Linear operators.
Operator theory.
Resolvents (Mathematics)
Perturbation (Mathematics)
Spectral theory (Mathematics)
Electronic books.
Online Access:Connect to the full text of this electronic book
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.