Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations

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dc.contributor.authorHassi, Seppo
dc.contributor.authorde Snoo, H.S.V.
dc.contributor.authorSzafraniec, F.H.
dc.contributor.organizationfi=Vaasan yliopisto|en=University of Vaasa|
dc.date.accessioned2020-10-21T07:30:36Z
dc.date.accessioned2025-06-25T12:45:27Z
dc.date.available2020-10-21T07:30:36Z
dc.date.issued2012-12
dc.description.abstractThe notion of a maximally nondensely defined symmetric operator or relation is introduced and characterized. The selfadjoint extensions (including the generalized Friedrichs extension) of a class of maximally nondensely defined symmetric operators are described. The description is given by means of the theory of ordinary boundary triplets and exhibits the extensions as infinite-dimensional perturbations of a certain selfadjoint operator extension of the symmetric operator.-
dc.description.notification©2012 Elsevier. This manuscript version is made available under the Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International (CC BY–NC–ND 4.0) license, https://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.description.reviewstatusfi=vertaisarvioitu|en=peerReviewed|-
dc.format.bitstreamtrue
dc.format.contentfi=kokoteksti|en=fulltext|-
dc.format.extent31-
dc.format.pagerange1087-1117-
dc.identifier.olddbid12761
dc.identifier.oldhandle10024/11482
dc.identifier.urihttps://osuva.uwasa.fi/handle/11111/853
dc.identifier.urnURN:NBN:fi-fe2020102185819-
dc.language.isoeng-
dc.publisherElsevier-
dc.publisherRoyal Netherlands Academy of Arts and Sciences (KNAW)-
dc.relation.doi10.1016/j.indag.2012.08.007-
dc.relation.ispartofjournalIndagationes Mathematicae-
dc.relation.issn0019-3577-
dc.relation.issue4-
dc.relation.urlhttps://doi.org/10.1016/j.indag.2012.08.007-
dc.relation.volume23-
dc.rightsCC BY-NC-ND 4.0-
dc.source.identifierWOS: 000311812500023-
dc.source.identifierhttps://osuva.uwasa.fi/handle/10024/11482
dc.subjectSymmetric operator-
dc.subjectGeneralized Friedrichs extension-
dc.subjectWeyl function-
dc.subjectBoundary triplet-
dc.subjectGraph perturbation-
dc.subject.olddisciplineMatematiikka-
dc.titleInfinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations-
dc.type.okmfi=A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä|en=A1 Peer-reviewed original journal article|sv=A1 Originalartikel i en vetenskaplig tidskrift|-
dc.type.publicationarticle-
dc.type.versionpublishedVersion-

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