Operator Functions and Localization of Spectra

• Main Author: Gil, Michael I. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1830
• Subjects: 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.
• Physical Description: XIV, 262 p. online resource.
• ISBN: 9783540452256
• ISSN: 0075-8434 ;
• DOI: 10.1007/b93845

"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.