2024, Vol. 5, Issue 1, Part A
New approach to some results related to mixed norm double sequence spaces
Author(s): Arvind Kumar Singh
Abstract: In this paper, the mixed norm double sequence spaces for 1 p, q are the subject of our research; we establish conditions for an operator to be compact, where is given by a diagonal matrix. This will be achieved by applying the Hausdroff measure of non-compactness and the theory of BK spaces. This problem was treated and solved in, but in a different way, without the application of the theory of infinite matrices and BK spaces. Here, we will present a new approach to the problem. Some of our results are known and others are new.
Pages: 06-13 | Views: 511 | Downloads: 198
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How to cite this article:
Arvind Kumar Singh. New approach to some results related to mixed norm double sequence spaces. Journal of Mathematical Problems, Equations and Statistics. 2024; 5(1): 06-13.