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The property of smallness up to a complemented Banach subspace

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Yurdakul, M.
dc.date.accessioned 2021-12-14T10:39:21Z
dc.date.available 2021-12-14T10:39:21Z
dc.date.issued 2004-04
dc.identifier.citation Abdeljawad, Thabet; Yurdakul, M. (2004). "The property of smallness up to a complemented Banach subspace", Publicationes Mathematicae-Debrecen, Vol. 64, No. 3-4, pp. 415-425. tr_TR
dc.identifier.issn 0033-3883
dc.identifier.uri http://hdl.handle.net/20.500.12416/4964
dc.description.abstract This article investigates locally convex spaces which satisfy the property of smallness up to a complemented Banach subspace, the SCBS property, which was introduced by Djakov, Terzioglu, Yurdakul and Zahariuta. It is proved that a bounded perturbation of an automorphism on a complete barrelled locally convex, space with the SCBS is stable up to a Banach subspace. New examples are given, and the relation of the SCBS with the quasinormability is analyzed. It is proved that the Frechet space l(p+) does not satisfy the SCBS, therefore this property is not inherited by subspaces or separated quotients. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject The SCBS Property tr_TR
dc.subject The Conditions (QN) tr_TR
dc.subject (AN) tr_TR
dc.subject l-Kothe tr_TR
dc.subject Spaces tr_TR
dc.subject The Space l(p)+ tr_TR
dc.subject Bounded Factorization Property tr_TR
dc.subject Douady's Lemma tr_TR
dc.subject Complemented Banach Subspaces tr_TR
dc.title The property of smallness up to a complemented Banach subspace tr_TR
dc.type article tr_TR
dc.relation.journal Publicationes Mathematicae-Debrecen tr_TR
dc.identifier.volume 64 tr_TR
dc.identifier.issue 3-4 tr_TR
dc.identifier.startpage 415 tr_TR
dc.identifier.endpage 425 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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