Norming Subspaces Isomorphic to <i>l</i><sub>1</sub>
| dc.authorscopusid | 35610828900 | |
| dc.authorwosid | Ostrovska, Sofiya/AAA-2156-2020 | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:32:40Z | |
| dc.date.available | 2024-07-05T14:32:40Z | |
| dc.date.issued | 2015 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that the dual of a Banach space X contains a norming subspace isomorphic to l(1) provided that the following two conditions are satisfied: (1) X* contains a subspace isomorphic to l(1); and (2) X* contains a separable norming subspace. | en_US |
| dc.identifier.citationcount | 0 | |
| dc.identifier.doi | 10.1007/s10114-015-4123-x | |
| dc.identifier.endpage | 771 | en_US |
| dc.identifier.issn | 1439-8516 | |
| dc.identifier.issn | 1439-7617 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopus | 2-s2.0-84928124715 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 767 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10114-015-4123-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/837 | |
| dc.identifier.volume | 31 | en_US |
| dc.identifier.wos | WOS:000352612800003 | |
| dc.institutionauthor | Ostrovska, Sofiya | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 0 | |
| dc.subject | Banach space | en_US |
| dc.subject | norming subspace | en_US |
| dc.subject | dual space | en_US |
| dc.subject | weak* convergence | en_US |
| dc.subject | free ultrafilter | en_US |
| dc.title | Norming Subspaces Isomorphic to <i>l</i><sub>1</sub> | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 0 | |
| dspace.entity.type | Publication | |
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