Relative bases in Banach spaces

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dc.authorwosidYilmaz, Yilmaz/A-9582-2018
dc.contributor.authorYilmaz, Yilmaz
dc.date.accessioned2024-08-04T20:31:15Z
dc.date.available2024-08-04T20:31:15Z
dc.date.issued2009
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe give, in this work, a new basis definition for Banach spaces and investigate some structural properties of certain vector-valued function spaces by using it. By novelty of the new definition, we prove that l(infinity) has a basis in this sense, and so we deduce as a result that it has approximation property. In fact, we obtain a more general result that the linear subspace P (B, X) of l(infinity) (B, X) of all those functions with a precompact range has an XSchauder basis. Hence P (A, X) has approximation property if and only if the Banach space X has. Note that P (B, X) = l(infinity) (B, X) for some finite-dimensional X. Further, we give a representation theorem to operators on certain vector-valued function spaces. (C) 2009 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.na.2009.01.041
dc.identifier.endpage2021en_US
dc.identifier.issn0362-546X
dc.identifier.issue5-6en_US
dc.identifier.scopus2-s2.0-67349183988en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2012en_US
dc.identifier.urihttps://doi.org/10.1016/j.na.2009.01.041
dc.identifier.urihttps://hdl.handle.net/11616/94816
dc.identifier.volume71en_US
dc.identifier.wosWOS:000267127100061en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofNonlinear Analysis-Theory Methods & Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBiorthogonal systemsen_US
dc.subjectSchauder basesen_US
dc.subjectGeneralization of basesen_US
dc.subjectOperators on function spacesen_US
dc.titleRelative bases in Banach spacesen_US
dc.typeArticleen_US

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