Operator functions and localization of spectra
By: Michael I. Gilʹ.
Series: Lecture notes in mathematics -- 1830; Lecture notes in mathematics (Springer-Verlag) -- 1830.
Publisher: Springer
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 256
Subjects: Linear operators; Operator theory; Resolvents (Mathematics); Perturbation (Mathematics); Spectral theory (Mathematics)
Description: "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.
Notes: Includes bibliographical references and index.