On Structral Properties of Some Banach Space-Valued Schroder Sequence Spaces

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dc.contributor.authorYilmaz, Yilmaz
dc.contributor.authorTuncer, A. Nihal
dc.contributor.authorYalcin, Seckin
dc.date.accessioned2026-04-04T13:30:55Z
dc.date.available2026-04-04T13:30:55Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractSome properties on Banach spaces, such as the Radon-Riesz, Dunford-Pettis and approximation properties, allow us to better understand the naive details about the structure of space and the robust inhomogeneities and symmetries in space. In this work we try to examine such properties of vector-valued Schroder sequence spaces. Further, we show that these sequence spaces have a kind of Schauder basis. We also prove that l(1)(S, V) possesses the Dunford-Pettis property and demonstrate that l(p)(S, V) satisfies the approximation property for 1 <= p < infinity under certain conditions and l(infinity)(S, V) has the Hahn-Banach extension property. Finally, we show that l(2)(S, V) has the Radon-Riesz property whenever V has it.
dc.identifier.doi10.3390/sym17070977
dc.identifier.issn2073-8994
dc.identifier.issue7
dc.identifier.orcid0000-0003-1484-782X
dc.identifier.scopus2-s2.0-105011636967
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym17070977
dc.identifier.urihttps://hdl.handle.net/11616/108474
dc.identifier.volume17
dc.identifier.wosWOS:001536776700001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectRadon-Riesz Property
dc.subjectDunford-Pettis property
dc.subjectApproximation property
dc.subjectvector-valued sequence spaces
dc.subjectSchroder sequence spaces
dc.titleOn Structral Properties of Some Banach Space-Valued Schroder Sequence Spaces
dc.typeArticle

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