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On Some Isomorphic Spaces of c0, c and l infinite

Hemen Dutta

Abstract


In recent days several works on difference sequence spaces were published. The main aim of this article is to use a new difference operator which generalizes all existing such operators to construct some spaces which include the spaces c0, c and l infinite in such a way that they become BK-spaces under a norm which looks quite natural for generalized spaces of c0, c and l infinite. Further we investigate the spaces for some algebraic and topological structures which are not investigated yet for such existing difference sequence spaces.

Keywords


Difference sequences, Completeness, BK-space, Separable space, Dual, Reflexive space, Hilbert space.

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