β-Dual of Vector-Valued Double Sequence Spaces of Maddox

Naveen Kumar Srivastava

doi:https://doi.org/10.14445/22315373/IJMTT-V47P541

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 5 | Year 2017 | Article Id. IJMTT-V47P541 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P541

β-Dual of Vector-Valued Double Sequence Spaces of Maddox

Naveen Kumar Srivastava

Abstract

The β-dual of a vector-valued double sequence space is defined and studied we show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic.

Keywords

The β-dual of a vector-valued double sequence space is defined.

References

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Citation :

Naveen Kumar Srivastava, "β-Dual of Vector-Valued Double Sequence Spaces of Maddox," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 5, pp. 295-304, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P541