Spectral Decompositions of Selfadjoint Relations in Pontryagin Spaces and Factorizations of Generalized Nevanlinna Functions

Tietueen suppeat tiedot
annif.suggestionsoperators|Hilbert space|functional analysis|mathematics|function analysis|parallel publishing|history|genericity|Finland|generations|enen
annif.suggestions.linkshttp://www.yso.fi/onto/yso/p15714|http://www.yso.fi/onto/yso/p27794|http://www.yso.fi/onto/yso/p17780|http://www.yso.fi/onto/yso/p3160|http://www.yso.fi/onto/yso/p6850|http://www.yso.fi/onto/yso/p27097|http://www.yso.fi/onto/yso/p1780|http://www.yso.fi/onto/yso/p23021|http://www.yso.fi/onto/yso/p94426|http://www.yso.fi/onto/yso/p2209en
dc.contributor.authorHassi, Seppo
dc.contributor.authorWietsma, Hendrik Luit
dc.contributor.departmentfi=Ei tutkimusalustaa|en=No platform|-
dc.contributor.editorAlpay, Daniel
dc.contributor.editorFritzsche, Bernd
dc.contributor.editorKirstein, Bernd
dc.contributor.facultyfi=Tekniikan ja innovaatiojohtamisen yksikkö|en=School of Technology and Innovations|-
dc.contributor.organizationfi=Vaasan yliopisto|en=University of Vaasa|
dc.date.accessioned2020-12-10T11:50:46Z
dc.date.accessioned2025-06-25T12:29:53Z
dc.date.available2021-09-19T00:00:23Z
dc.date.issued2020-09-19
dc.description.abstractSelfadjoint relations in Pontryagin spaces do not possess a spectral family completely characterizing them in the way that selfadjoint relations in Hilbert spaces do. Here it is shown that a combination of a factorization of generalized Nevanlinna functions with the standard spectral family of selfadjoint relations in Hilbert spaces can function as a spectral family for selfadjoint relations in Pontryagin spaces. By this technique additive decompositions are established for generalized Nevanlinna functions and selfadjoint relations in Pontryagin spaces.-
dc.description.notification© Springer Nature Switzerland AG 2020.-
dc.description.reviewstatusfi=vertaisarvioitu|en=peerReviewed|-
dc.embargo.lift2021-09-19
dc.embargo.terms2021-09-19
dc.format.bitstreamtrue
dc.format.contentfi=kokoteksti|en=fulltext|-
dc.format.extent20-
dc.format.pagerange515-534-
dc.identifier.isbn978-3-030-44819-6-
dc.identifier.olddbid13147
dc.identifier.oldhandle10024/11756
dc.identifier.urihttps://osuva.uwasa.fi/handle/11111/331
dc.identifier.urnURN:NBN:fi-fe20201210100249-
dc.language.isoeng-
dc.publisherBirkhäuser-
dc.relation.doi10.1007/978-3-030-44819-6_16-
dc.relation.isbn978-3-030-44818-9-
dc.relation.ispartofComplex Function Theory, Operator Theory, Schur Analysis and Systems Theory : A Volume in Honor of V.E. Katsnelson-
dc.relation.ispartofseriesOperator Theory: Advances and Applications-
dc.relation.issn2296-4878-
dc.relation.issn0255-0156-
dc.relation.numberinseries280-
dc.relation.urlhttps://doi.org/10.1007/978-3-030-44819-6_16-
dc.source.identifierScopus: 85091404667-
dc.source.identifierhttps://osuva.uwasa.fi/handle/10024/11756
dc.subjectGeneralized Nevanlinna functions-
dc.subjectSelfadjoint (multi-valued) operators-
dc.subject(Minimal) Realizations-
dc.subject.olddisciplineMatemaattiset tieteet-
dc.titleSpectral Decompositions of Selfadjoint Relations in Pontryagin Spaces and Factorizations of Generalized Nevanlinna Functions-
dc.type.okmfi=A3 Kirjan tai muun kokoomateoksen osa|en=A3 Peer-reviewed book section|sv=A3 Del av bok eller annat samlingsverk|-
dc.type.publicationbookPart-
dc.type.versionpublishedVersion-

Tiedostot

Näytetään 1 - 1 / 1
Name:
Osuva_Hassi_Wietsma_2020.pdf
Size:
438.74 KB
Format:
Adobe Portable Document Format
Description:
Artikkeli
Lataa

Kokoelmat

Artikkelit