LEADER 03493nam 2200853 450 001 9910809890503321 005 20230607232331.0 010 $a3-11-090016-5 024 7 $a10.1515/9783110900163 035 $a(CKB)3390000000034275 035 $a(SSID)ssj0000849423 035 $a(PQKBManifestationID)11418928 035 $a(PQKBTitleCode)TC0000849423 035 $a(PQKBWorkID)10812884 035 $a(PQKB)10648152 035 $a(MiAaPQ)EBC3042828 035 $a(DE-B1597)57160 035 $a(OCoLC)1013957548 035 $a(OCoLC)853267860 035 $a(DE-B1597)9783110900163 035 $a(Au-PeEL)EBL3042828 035 $a(CaPaEBR)ebr10754997 035 $a(OCoLC)922945849 035 $a(EXLCZ)993390000000034275 100 $a20020918d2002 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOperator theory $enonclassical problems /$fS.G. Pyatkov 205 $aReprint 2013 210 1$aUtrecht ;$aBoston :$cVSP,$d2002. 215 $a1 online resource (361 pages) 225 0 $aInverse and Ill-Posed Problems Series ;$v33 225 0$aInverse and ill-posed problems series.$x1381-4524 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-11-062867-8 311 $a90-6764-363-7 320 $aIncludes bibliographical references (pages [323]-346) and index. 327 $tFrontmatter -- $tPreface -- $tIntroduction -- $tList of Designations -- $tContents -- $tChapter 1. Indefinite inner product spaces. Linear operators. Interpolation -- $tChapter 2. Spectral theory for linear selfadjoint pencils -- $tChapter 3. Elliptic eigenvalue problems with an indefinite weight function -- $tChapter 4. Operator-differential equations -- $tBibliography -- $tIndex 330 $aThis monograph describes mathematical methods applicable to studying nonclassical problems of mathematical physics. The emphasis of the book is on applications of the interpolar theory of Banach spaces to the theory of linear operators to be expotentially dichotomous, to some continuity properties of linear operators in Hilbert scales, to the Riesz basis property of eigenelements and associated elements of linear pencils and the correspondending elliptic problems with indefinite weight functions, and to studying nonclassical boundary value problems for first order operator-differential equations. 606 $aBanach spaces 606 $aInterpolation spaces 606 $aNonclassical mathematical logic 606 $aOperator theory 610 $aBanach Spaces. 610 $aBoundary Value Problems. 610 $aContinuity Properties. 610 $aDichotomous. 610 $aEigenelements. 610 $aElliptic Problems. 610 $aExpotential. 610 $aHilbert Scales. 610 $aIndefinite Weight Functions. 610 $aInterpolar Theory. 610 $aLinear Operators. 610 $aLinear Pencils. 610 $aNonclassical. 610 $aOperator-differential Equations. 610 $aRiesz Basis Property. 615 0$aBanach spaces. 615 0$aInterpolation spaces. 615 0$aNonclassical mathematical logic. 615 0$aOperator theory. 676 $a515/.724 700 $aPyatkov$b S. G$0725452 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809890503321 996 $aOperator theory$91415538 997 $aUNINA