A Generalization of Almost Convergence, Completeness of Some Normed Spaces With Wuc Series and a Version of Orlicz-Pettis Theorem
| dc.contributor.author | Karakus, Mahmut | |
| dc.contributor.author | Basar, Feyzi | |
| dc.date.accessioned | 2025-05-10T17:33:39Z | |
| dc.date.available | 2025-05-10T17:33:39Z | |
| dc.date.issued | 2019 | |
| dc.description | Karakus, Mahmut/0000-0002-4468-629X | en_US |
| dc.description.abstract | In this study, we give a slight generalization of almost convergence and introduce some new multiplier spaces associated to a series k xk in a normed space X by means of this new summability method. We also obtain some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X *, respectively. Finally, we give a version of the Orlicz-Pettis theorem, as an application of this new method and an unconditionally convergent series k xk in a normed space X. | en_US |
| dc.identifier.doi | 10.1007/s13398-019-00701-9 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.issn | 1579-1505 | |
| dc.identifier.scopus | 2-s2.0-85068745259 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-019-00701-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/13565 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Almost Convergence | en_US |
| dc.subject | Wuc Series | en_US |
| dc.subject | Uc Series | en_US |
| dc.subject | Orlicz-Pettis Theorem | en_US |
| dc.title | A Generalization of Almost Convergence, Completeness of Some Normed Spaces With Wuc Series and a Version of Orlicz-Pettis Theorem | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Karakus, Mahmut/0000-0002-4468-629X | |
| gdc.author.scopusid | 57192188484 | |
| gdc.author.scopusid | 55908183200 | |
| gdc.author.wosid | Karakuş, Mahmut/Hhy-8747-2022 | |
| gdc.author.wosid | Başar, Feyzi/X-4419-2019 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Karakus, Mahmut] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Basar, Feyzi] Inonu Univ, Dept Primary Math Teacher Educ, TR-44280 Malatya, Turkey; [Basar, Feyzi] Kisikli Mah Alim Sok Alim Apt 7-6, TR-34692 Uskudar Istanbul, Turkey | en_US |
| gdc.description.endpage | 3475 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3461 | en_US |
| gdc.description.volume | 113 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000483725900035 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |