Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.2930
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dc.contributor.authorKruse, Karsten-
dc.date.accessioned2020-09-29T05:27:11Z-
dc.date.available2020-09-29T05:27:11Z-
dc.date.issued2020-06-16-
dc.identifier.citationBanach Journal of Mathematical Analysis 4 (14): 1509-1531 (2020-09-01)de_DE
dc.identifier.issn1735-8787de_DE
dc.identifier.urihttp://hdl.handle.net/11420/7406-
dc.description.abstractWe introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E.en
dc.language.isoende_DE
dc.relation.ispartofBanach journal of mathematical analysisde_DE
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de_DE
dc.subjectLinearisationde_DE
dc.subjectSemi-Montel spacede_DE
dc.subjectVector-valued functionsde_DE
dc.subjectWeightde_DE
dc.subjectε-productde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleWeighted spaces of vector-valued functions and the ε-productde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.2930-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.0106797-
tuhh.oai.showtruede_DE
tuhh.abstract.englishWe introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E.de_DE
tuhh.publisher.doi10.1007/s43037-020-00072-z-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.2930-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue4de_DE
tuhh.container.volume14de_DE
tuhh.container.startpage1509de_DE
tuhh.container.endpage1531de_DE
dc.relation.projectProjekt DEALde_DE
dc.rights.nationallicensefalsede_DE
dc.identifier.scopus2-s2.0-85086572387de_DE
local.status.inpressfalsede_DE
local.type.versionpublishedVersionde_DE
datacite.resourceTypeArticle-
datacite.resourceTypeGeneralJournalArticle-
item.languageiso639-1en-
item.creatorGNDKruse, Karsten-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.creatorOrcidKruse, Karsten-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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