The modular sequence space of $\chi^{2}$
In this paper we introduce the modular sequence space of $\chi^{2}$ and examine some topological properties of these space also establish some duals results among them. Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space $\ell_{M}$ which is called an Orlicz s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2014-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19385 |
| Summary: | In this paper we introduce the modular sequence space of $\chi^{2}$ and examine some topological properties of these space also establish some duals results among them. Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space $\ell_{M}$ which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. We define the sequence spaces $\chi^{2}_{f\lambda}$ and $\chi^{2\lambda}_{g},$ where $f=\left(f_{mn}\right)$ and $g=\left(g_{mn}\right)$ are sequences of modulus functions such that $f_{mn}$ and $g_{mn}$ be mutually complementary for each $m,n.$ |
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| ISSN: | 0037-8712 2175-1188 |