Boundary Relations and Generalized Resolvents of Symmetric Operators in Krein Spaces

dc.contributor.authorBehrndt, Jussi
dc.contributor.authorKreusler, Hans-Christian
dc.date.accessioned2021-12-17T10:06:45Z
dc.date.available2021-12-17T10:06:45Z
dc.date.issued2006-09-11
dc.description.abstractThe classical Krein-Naimark formula establishes a one-to-one correspondence between the generalized resolvents of a closed symmetric operator in a Hilbert space and the class of Nevanlinna families in a parameter space. Recently it was shown by V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo that these parameter families can be interpreted as so-called Weyl families of boundary relations, and a new proof of the Krein-Naimark formula in the Hilbert space setting was given with the help of a coupling method. The main objective of this paper is to generalize the notion of boundary relations and their Weyl families to the Krein space case and to proof some variants of the Krein-Naimark formula in an indefinite setting.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15578
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14351
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othersymmetric operatoren
dc.subject.otherself-adjoint extensionen
dc.subject.otherKrein-Naimark formulaen
dc.subject.othergeneralized resolventen
dc.subject.otherboundary relationen
dc.subject.otherboundary tripleten
dc.subject.other(locally) definitizable operatoren
dc.subject.otherKrein spaceen
dc.titleBoundary Relations and Generalized Resolvents of Symmetric Operators in Krein Spacesen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2006, 33en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200047B50 Operators on spaces with an indefinite metricen
tub.subject.msc200047A20 Dilations, extensions, compressionsen
tub.subject.msc200047B25 Symmetric and selfadjoint operatorsen
tub.subject.msc200046C20 Spaces with indefinite inner producten
tub.subject.msc200047A06 Linear relationsen
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