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010   $a3-540-45225-7
024 7 $a10.1007/b93845
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035   $a(DE-He213)978-3-540-45225-6
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035   $a(PPN)238091899
035   $a(EXLCZ)991000000000230842
100   $a20121227d2003      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aOperator Functions and Localization of Spectra /$fby Michael I. Gil
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (XIV, 262 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1830
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-20246-3 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $a"Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1830
606   $aOperator theory
606   $aMatrix theory
606   $aAlgebra
606   $aFunctions of complex variables
606   $aIntegral equations
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
615  0$aOperator theory.
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aFunctions of complex variables.
615  0$aIntegral equations.
615 14$aOperator Theory.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aFunctions of a Complex Variable.
615 24$aIntegral Equations.
676   $a515.7246 
700   $aGil?$b M. I$g(Mikhail Iosifovich),$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150731
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144620403321
996   $aOperator functions and localization of spectra$9253263
997   $aUNINA