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dc.contributor.authorKruse, Karsten-
dc.date.accessioned2020-05-18T05:36:22Z-
dc.date.available2020-05-18T05:36:22Z-
dc.date.issued2020-
dc.identifier.citationAnnales Polonici Mathematici 2 (124): 173-196 (2020)de_DE
dc.identifier.issn1730-6272de_DE
dc.identifier.urihttp://hdl.handle.net/11420/6166-
dc.description.abstractNuclearity plays an important role for the Schwartz kernel theorem to hold and in transferring the surjectivity of a linear partial differential operator from scalar-valued to vector-valued functions via tensor product theory. In this paper we study weighted spaces 𝓔𝓥(Ω) of smooth functions on an open subset Ω⊂ℝᵈ whose topology is given by a family of weights 𝓥. We derive sufficient conditions on the weights which make 𝓔𝓥(Ω) a nuclear space.en
dc.language.isoende_DE
dc.relation.ispartofAnnales Polonici mathematicide_DE
dc.subjectNuclearde_DE
dc.subjectPartition of unityde_DE
dc.subjectSmoothde_DE
dc.subjectWeightde_DE
dc.subjectMathematics - Functional Analysisde_DE
dc.subjectMathematics - Functional Analysisde_DE
dc.subject46A11, 46E10de_DE
dc.titleOn the nuclearity of weighted spaces of smooth functionsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishNuclearity plays an important role for the Schwartz kernel theorem to hold and in transferring the surjectivity of a linear partial differential operator from scalar-valued to vector-valued functions via tensor product theory. In this paper we study weighted spaces 𝓔𝓥(Ω) of smooth functions on an open subset Ω⊂ℝᵈ whose topology is given by a family of weights 𝓥. We derive sufficient conditions on the weights which make 𝓔𝓥(Ω) a nuclear space.de_DE
tuhh.publisher.doi10.4064/ap190728-17-11-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue2de_DE
tuhh.container.volume124de_DE
tuhh.container.startpage173de_DE
tuhh.container.endpage196de_DE
dc.identifier.arxiv1809.06457v4de_DE
dc.identifier.scopus2-s2.0-85084373973-
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
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-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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