ï¨-Duals of Some Double Sequence Spaces
Keywords:
ï¡-dual, ï¨-dual, perfect space, Double sequence, Bounded variation, Regular convergent, 2lr-space.Abstract
P. Chandra and B.C. Tripathy [13] have generalized the notion of the köthe-toeplitz dual of sequence spaces on introducting the concept of h-dual of order r, for r ³ 1 of sequence spaces. B.C. Tripathy and B. Sharma [3] have introduced the notion of ï¨-dual of order r, for r ³1 of double sequence spaces. Ansari and Gupta [1] have generalized the notion of the köthe-Toeplitz dual of sequence spaces on introducing the concept of h-dual of order r, for 0 < r £ 1 of sequence spaces. In this paper, we have defined and determined the ï¨-dual of some double sequence spaces for 0 < r £ 1 and have establised their perfectness in relation to ï¨-dual for 0 < r £ 1.
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Published
21-05-2012
How to Cite
Gupta, K. B., and A. A. Ansari. “ï¨-Duals of Some Double Sequence Spaces”. Journal of Experimental Sciences, vol. 3, no. 1, May 2012, https://updatepublishing.com/journal/index.php/jes/article/view/1909.
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