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Record ID harvard_bibliographic_metadata/ab.bib.09.20150123.full.mrc:287311748:2659
Source harvard_bibliographic_metadata
Download Link /show-records/harvard_bibliographic_metadata/ab.bib.09.20150123.full.mrc:287311748:2659?format=raw

LEADER: 02659nam a2200421 a 4500
001 009283440-X
005 20131128021744.0
008 031008s2003 gw b 001 0 eng
010 $a 2003066697
020 $a3540202463 (alk. paper)
035 0 $aocm53223749
040 $aDLC$cDLC
042 $apcc
050 00 $aQA3$b.L28 no. 1830$aQA329.2
082 00 $a510 s$a515/.7246$222
100 1 $aGilʹ, M. I.$q(Mikhail Iosifovich)
245 10 $aOperator functions and localization of spectra /$cMichael I. Gil'.
260 $aBerlin ;$aNew York :$bSpringer-Verlag,$cc2003.
300 $axiv, 256 p. ;$c24 cm.
490 1 $aLecture notes in mathematics,$x0075-8434 ;$v1830
530 $aAlso available in an electronic version.
504 $aIncludes bibliographical references and index.
505 0 $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.
520 $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.
650 0 $aLinear operators.
650 0 $aOperator theory.
650 0 $aResolvents (Mathematics)
650 0 $aPerturbation (Mathematics)
655 7 $aComputer network resources.$2local
655 7 $aElectronic books.$2lcsh
650 0 $aSpectral theory (Mathematics)
650 0 $aMathematics.
650 0 $aMatrix theory.
650 0 $aFunctions of complex variables.
650 0 $aIntegral equations.
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v1830.
988 $a20040204
906 $0DLC