Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4017
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dc.contributor.authorKruse, Karsten-
dc.date.accessioned2021-12-10T07:29:39Z-
dc.date.available2021-12-10T07:29:39Z-
dc.date.issued2022-01-
dc.identifier.citationAnnals of Functional Analysis 13 (1): 1-26 (2022-02)de_DE
dc.identifier.issn2008-8752de_DE
dc.identifier.urihttp://hdl.handle.net/11420/11248-
dc.description.abstractIn this paper we study the problem of extending functions with values in a locally convex Hausdorff space E over a field K, which has weak extensions in a weighted Banach space Fν(Ω,K) of scalar-valued functions on a set Ω, to functions in a vector-valued counterpart Fν(Ω,E) of Fν(Ω,K). Our findings rely on a description of vector-valued functions as continuous linear operators and extend results of Frerick, Jordá and Wengenroth. As an application we derive weak-strong principles for continuously partially differentiable functions of finite order and vector-valued versions of Blaschke’s convergence theorem for several spaces.en
dc.language.isoende_DE
dc.publisherSpringer International Publishingde_DE
dc.relation.ispartofAnnals of functional analysisde_DE
dc.rightsCC BY 4.0de_DE
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de_DE
dc.subjectextensionde_DE
dc.subjectvector-valuedde_DE
dc.subjectepsilon-productde_DE
dc.subjectweightde_DE
dc.subjectweak-strong principlede_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleExtension of vector-valued functions and weak-strong principles for differentiable functions of finite orderde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.4017-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.0162525-
tuhh.oai.showtruede_DE
tuhh.abstract.englishIn this paper we study the problem of extending functions with values in a locally convex Hausdorff space E over a field K, which has weak extensions in a weighted Banach space Fν(Ω,K) of scalar-valued functions on a set Ω, to functions in a vector-valued counterpart Fν(Ω,E) of Fν(Ω,K). Our findings rely on a description of vector-valued functions as continuous linear operators and extend results of Frerick, Jordá and Wengenroth. As an application we derive weak-strong principles for continuously partially differentiable functions of finite order and vector-valued versions of Blaschke’s convergence theorem for several spaces.de_DE
tuhh.publisher.doi10.1007/s43034-021-00154-5-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.4017-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue1de_DE
tuhh.container.volume13de_DE
tuhh.container.startpage1de_DE
tuhh.container.endpage26de_DE
dc.relation.projectProjekt DEALde_DE
dc.rights.nationallicensefalsede_DE
dc.identifier.arxiv1910.01952de_DE
dc.identifier.scopus2-s2.0-85120870776de_DE
tuhh.container.articlenumber10de_DE
local.status.inpressfalsede_DE
local.type.versionpublishedVersionde_DE
local.publisher.peerreviewedtruede_DE
datacite.resourceTypeArticle-
datacite.resourceTypeGeneralJournalArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidKruse, Karsten-
item.languageiso639-1en-
item.creatorGNDKruse, Karsten-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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