Some topological properties of double Cesàro-Orlicz sequence spaces
| Autor: | Cenap Duyar, Oğuz Oğur |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | New Trends in Mathematical Sciences, Vol 6, Iss 2, Pp 119-129 (2018) |
| ISSN: | 2147-5520 |
| Popis: | The object of this paper is to introduce the double Cesàro-Orliczsequence space Ces_{M}^{(2)} using a Orlicz function M. Necessary and sufficient conditions under which the doubleCesàro-Orlicz sequence space Ces_{M}^{(2)} is nontrivial are presented. It is proved that double Cesàro-Orlicz sequence spaces Ces_{M}^{(2)} are complete. Finally, it is obtained that if \phi \in \Delta _{2}(0) then the space Ces_{M}^{(2)} is separable and order continuous. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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