03493nam 2200853 450 991080989050332120230607232331.03-11-090016-510.1515/9783110900163(CKB)3390000000034275(SSID)ssj0000849423(PQKBManifestationID)11418928(PQKBTitleCode)TC0000849423(PQKBWorkID)10812884(PQKB)10648152(MiAaPQ)EBC3042828(DE-B1597)57160(OCoLC)1013957548(OCoLC)853267860(DE-B1597)9783110900163(Au-PeEL)EBL3042828(CaPaEBR)ebr10754997(OCoLC)922945849(EXLCZ)99339000000003427520020918d2002 uy 0engurcnu||||||||txtccrOperator theory nonclassical problems /S.G. PyatkovReprint 2013Utrecht ;Boston :VSP,2002.1 online resource (361 pages)Inverse and Ill-Posed Problems Series ;33Inverse and ill-posed problems series.1381-4524Bibliographic Level Mode of Issuance: Monograph3-11-062867-8 90-6764-363-7 Includes bibliographical references (pages [323]-346) and index.Frontmatter -- Preface -- Introduction -- List of Designations -- Contents -- Chapter 1. Indefinite inner product spaces. Linear operators. Interpolation -- Chapter 2. Spectral theory for linear selfadjoint pencils -- Chapter 3. Elliptic eigenvalue problems with an indefinite weight function -- Chapter 4. Operator-differential equations -- Bibliography -- IndexThis 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. Banach spacesInterpolation spacesNonclassical mathematical logicOperator theoryBanach Spaces.Boundary Value Problems.Continuity Properties.Dichotomous.Eigenelements.Elliptic Problems.Expotential.Hilbert Scales.Indefinite Weight Functions.Interpolar Theory.Linear Operators.Linear Pencils.Nonclassical.Operator-differential Equations.Riesz Basis Property.Banach spaces.Interpolation spaces.Nonclassical mathematical logic.Operator theory.515/.724Pyatkov S. G725452MiAaPQMiAaPQMiAaPQBOOK9910809890503321Operator theory1415538UNINA