Michael I. Gil'

Operator Functions and Localization of Spectra

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1830
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-20246-2
• 2003
• Seitenzahl: 276
• Erscheinungstermin: 17. November 2003
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 416g
• ISBN-13: 9783540202462
• ISBN-10: 3540202463
• Artikelnr.: 12501464

Autorenporträt

Michael I. Gil', Ben Gurion University of Negev, Beer-Sheva, Israel

Inhaltsangabe

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.