DC FieldValueLanguage
dc.contributor.authorKruse, Karsten-
dc.date.accessioned2020-11-10T12:16:34Z-
dc.date.available2020-11-10T12:16:34Z-
dc.date.issued2019-
dc.identifier.citationBanach Center Publications (119): 233-258 (2019)de_DE
dc.identifier.issn1730-6299de_DE
dc.identifier.urihttp://hdl.handle.net/11420/7800-
dc.description.abstractWe study spaces CVk(Ω,E) of k-times continuously partially differentiable functions on an open set Ω⊂Rd with values in a locally convex Hausdorff space E. The space CVk(Ω,E) is given a weighted topology generated by a family of weights Vk. For the space CVk(Ω,E) and its subspace CVk0(Ω,E) of functions that vanish at infinity in the weighted topology we try to answer the question whether their elements can be approximated by functions with values in a finite dimensional subspace. We derive sufficient conditions for an affirmative answer to this question using the theory of tensor products.en
dc.language.isoende_DE
dc.publisherInst.de_DE
dc.relation.ispartofBanach Center Publicationsde_DE
dc.subjectapproximation propertyde_DE
dc.subjecttensor productde_DE
dc.subjectdifferentiablede_DE
dc.subjectweightde_DE
dc.subjectvector-valuedde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleThe approximation property for weighted spaces of differentiable functionsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishWe study spaces CVk(Ω,E) of k-times continuously partially differentiable functions on an open set Ω⊂Rd with values in a locally convex Hausdorff space E. The space CVk(Ω,E) is given a weighted topology generated by a family of weights Vk. For the space CVk(Ω,E) and its subspace CVk0(Ω,E) of functions that vanish at infinity in the weighted topology we try to answer the question whether their elements can be approximated by functions with values in a finite dimensional subspace. We derive sufficient conditions for an affirmative answer to this question using the theory of tensor products.de_DE
tuhh.publisher.doi10.4064/bc119-14-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume119de_DE
tuhh.container.startpage233de_DE
tuhh.container.endpage258de_DE
dc.relation.conference12th International Conferences on Function Spaces, 2018de_DE
local.contributorCorporate.editorInstitute of Mathematics of the Polish Academy of Sciences-
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.contributorCorpGNDInstitute of Mathematics of the Polish Academy of Sciences-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDKruse, Karsten-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidKruse, Karsten-
item.languageiso639-1en-
item.mappedtypeArticle-
item.contributorCorpRORInstitute of Mathematics of the Polish Academy of Sciences-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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