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https://hdl.handle.net/11499/46414
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sarigol, Mehmet Ali | - |
dc.contributor.author | Agarwal, Ravi P. | - |
dc.date.accessioned | 2023-01-09T21:11:26Z | - |
dc.date.available | 2023-01-09T21:11:26Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 1072-947X | - |
dc.identifier.issn | 1572-9176 | - |
dc.identifier.uri | https://doi.org/10.1515/gmj-2021-2099 | - |
dc.identifier.uri | https://hdl.handle.net/11499/46414 | - |
dc.description.abstract | In this paper, we present a general Banach space of absolutely k-summable series using a triangle matrix operator and prove that this is a BK-space isometrically isomorphic to the space l(k). We also establish the alpha- , beta- , gamma-duals and base of the new space. Finally, we qualify some matrix and compact operators on the new space making use of the Hausdorff measure of noncompactness. Our results include, as particular cases, a number of well-known results. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Walter De Gruyter Gmbh | en_US |
dc.relation.ispartof | Georgian Mathematical Journal | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Sequence space | en_US |
dc.subject | absolute summability | en_US |
dc.subject | matrix mapping | en_US |
dc.subject | compact operator | en_US |
dc.subject | Hausdorff measure of noncompactness | en_US |
dc.subject | Sequence-Spaces | en_US |
dc.subject | Matrix Transformations | en_US |
dc.subject | Summability Factors | en_US |
dc.subject | Operators | en_US |
dc.subject | Noncompactness | en_US |
dc.subject | Theorem | en_US |
dc.subject | L(P) | en_US |
dc.title | Banach spaces of absolutely k-summable series | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 28 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.startpage | 945 | en_US |
dc.identifier.endpage | 956 | en_US |
dc.identifier.doi | 10.1515/gmj-2021-2099 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 57202955395 | - |
dc.authorscopusid | 36013313700 | - |
dc.identifier.scopus | 2-s2.0-85108101119 | en_US |
dc.identifier.wos | WOS:000723248600010 | en_US |
dc.identifier.scopusquality | Q3 | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.dept | 17.04. Mathematics | - |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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