The space Lq of double sequences
| dc.contributor.author | Başar, Feyzi | |
| dc.contributor.author | Sever, Yurdal | |
| dc.date.accessioned | 2020-01-08T08:38:44Z | |
| dc.date.available | 2020-01-08T08:38:44Z | |
| dc.date.issued | 2009-01 | en_US |
| dc.department | Fen-Edebiyat Fakültesi | en_US |
| dc.description.abstract | The spaces BS, BS(t), CSp, CSbp, CSr and BV of double sequences have recently been studied by Altay and Başar [J. Math. Anal. Appl. 309(1)(2005), 70–90]. In this work, following Altay and Başar [1], we introduce the Banach space Lq of double sequences corresponding to the well-known space ℓq of single sequences and examine some properties of the space Lq. Furthermore, we determine the β(υ)-dual of the space and establish that the α- and γ-duals of the space Lq coincide with the β(υ)-dual; where 1 ≤ q < ∞ and υ ∈ {p, bp, r}. | en_US |
| dc.identifier.citation | Başar, Feyzi, and Yurdal Sever. "The space L_q of double sequences." Mathematical Journal of Okayama University 51.1 (2009). | en_US |
| dc.identifier.endpage | 157 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.orcid | 0000-0002-5102-1384 | en_US |
| dc.identifier.startpage | 149 | en_US |
| dc.identifier.uri | http://ousar.lib.okayama-u.ac.jp/33223 | |
| dc.identifier.uri | https://hdl.handle.net/11630/8015 | |
| dc.identifier.volume | 51 | en_US |
| dc.institutionauthor | Sever, Yurdal | |
| dc.language.iso | en | |
| dc.publisher | Department of Mathematics, Faculty of Science, Okayama University | en_US |
| dc.relation.ispartof | Mathematical Journal of Okayama University | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Double Sequence Space | en_US |
| dc.subject | Paranormed Sequence Space | en_US |
| dc.subject | α-, β-, γ-Duals of a Double Sequence Space | en_US |
| dc.title | The space Lq of double sequences | en_US |
| dc.type | Article |
