Operator Functions and Localization of Spectra

• Κύριος συγγραφέας: Gil, Michael I. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1830
• Θέματα: Operator theory.; Matrix theory.; Algebra.; Functions of complex variables.; Integral equations.; Operator Theory.; Linear and Multilinear Algebras, Matrix Theory.; Functions of a Complex Variable.; Integral Equations.

"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...

Πίνακας περιεχομένων:

• 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.