The Property of Smallness Up To a Complemented Banach Subspace
| dc.contributor.author | Abdeljawad, T | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Yurdakul, M | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:49:04Z | |
| dc.date.available | 2025-09-23T12:49:04Z | |
| dc.date.issued | 2004 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| 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. | en_US |
| 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. | en_US |
| dc.identifier.issn | 0033-3883 | |
| dc.identifier.scopus | 2-s2.0-2442459667 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15344 | |
| dc.language.iso | en | en_US |
| dc.publisher | Kossuth Lajos Tudomanyegyetem | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | The Scbs Property | en_US |
| dc.subject | The Conditions (Qn) | en_US |
| dc.subject | (An) | en_US |
| dc.subject | L-Kothe | en_US |
| dc.subject | Spaces | en_US |
| dc.subject | The Space L(P)+ | en_US |
| dc.subject | Bounded Factorization Property | en_US |
| dc.subject | Douady'S Lemma | en_US |
| dc.subject | Complemented Banach Subspaces | en_US |
| dc.title | The Property of Smallness Up To a Complemented Banach Subspace | en_US |
| dc.title | The property of smallness up to a complemented Banach subspace | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.scopusid | 6508051762 | |
| gdc.author.scopusid | 7003735089 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, TR-06530 Ankara, Turkey; Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey | en_US |
| gdc.description.endpage | 425 | en_US |
| gdc.description.issue | 3-4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 415 | en_US |
| gdc.description.volume | 64 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000221865000014 | |
| gdc.publishedmonth | 4 | |
| gdc.scopus.citedcount | 3 | |
| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.wos.citedcount | 3 | |
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