Operator Functions and Localization of Spectra
Gil’, Michael I.
Operator Functions and Localization of Spectra [electronic resource] / by Michael I. Gil’. - XIV, 262 p. online resource. - Lecture Notes in Mathematics, 1830 0075-8434 ; . - Lecture Notes in Mathematics, 1830 .
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.
"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.
9783540452256
10.1007/b93845 doi
Operator theory.
Matrix theory.
Functions of complex variables.
Integral equations.
Operator Theory.
Linear and Multilinear Algebras, Matrix Theory.
Functions of a Complex Variable.
Integral Equations.
QA329-329.9
515.724
Operator Functions and Localization of Spectra [electronic resource] / by Michael I. Gil’. - XIV, 262 p. online resource. - Lecture Notes in Mathematics, 1830 0075-8434 ; . - Lecture Notes in Mathematics, 1830 .
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.
"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.
9783540452256
10.1007/b93845 doi
Operator theory.
Matrix theory.
Functions of complex variables.
Integral equations.
Operator Theory.
Linear and Multilinear Algebras, Matrix Theory.
Functions of a Complex Variable.
Integral Equations.
QA329-329.9
515.724