The Journal of the Indian Mathematical Society

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Banach Limit and some New Spaces of Double Sequences II


Affiliations
1 Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
2 Department of Mathematics, Jazan University, Jazan 45142, Saudi Arabia
     

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In this paper we introduce some new spaces related with the concept of Banach limit and almost convergence of double sequences. We establish some inclusion relations and some topological results for these new sequence spaces.

Keywords

Double Sequence, P-Convergence, Banach Limit, Almost Convergence.
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  • Banach Limit and some New Spaces of Double Sequences II

Abstract Views: 246  |  PDF Views: 0

Authors

Mursaleen
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
S. A. Mohiuddine
Department of Mathematics, Jazan University, Jazan 45142, Saudi Arabia

Abstract


In this paper we introduce some new spaces related with the concept of Banach limit and almost convergence of double sequences. We establish some inclusion relations and some topological results for these new sequence spaces.

Keywords


Double Sequence, P-Convergence, Banach Limit, Almost Convergence.