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The aim of this paper is to introduce and study a new class  (S, – , u ) of sequences with values in 2- Banach space as a generalization of the familiar space of summable sequences . We explore some of the preliminary results that characterize the topological linear structure of  the class  (S, – , u – ) when topologized it with suitable

On Certain Topological Structures of Summable Paranormed Sequence Space Defined in Two - Normed Space