03919nam 22007215 450 991014462040332120251117004508.03-540-45225-710.1007/b93845(CKB)1000000000230842(SSID)ssj0000325391(PQKBManifestationID)11251541(PQKBTitleCode)TC0000325391(PQKBWorkID)10323855(PQKB)10273415(DE-He213)978-3-540-45225-6(MiAaPQ)EBC5592129(PPN)238091899(EXLCZ)99100000000023084220121227d2003 u| 0engurnn|008mamaatxtccrOperator Functions and Localization of Spectra /by Michael I. Gil1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (XIV, 262 p.) Lecture Notes in Mathematics,0075-8434 ;1830Bibliographic Level Mode of Issuance: Monograph3-540-20246-3 Includes bibliographical references and index.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.Lecture Notes in Mathematics,0075-8434 ;1830Operator theoryMatrix theoryAlgebraFunctions of complex variablesIntegral equationsOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Integral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Operator 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.515.7246 Gilʹ M. I(Mikhail Iosifovich),authttp://id.loc.gov/vocabulary/relators/aut150731MiAaPQMiAaPQMiAaPQBOOK9910144620403321Operator functions and localization of spectra253263UNINA