Lecture notes in mathematics (Springer-Verlag), 1830.
CONTENTS NOTE
Text of Note
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
SUMMARY OR ABSTRACT
Text of Note
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.