ON GENERALIZED n-DUALS OF SOME DOUBLE SEQUENCE SPACES

Print ISSN: 2319-1023

Abstract

Ansari and Gupta [1] have generalized the η-dual of some double sequence spaces for 0 < r ≤ 1 and have established their perfectness in relation to
η-dual of order r, 0 < r ≤ 1. We have defined and determined the η-duals of some double sequence spaces of order r, for r > 0.

Keywords and Phrases

?-dual, dual space, perfect spaces, lr?space, convergent sequence, bounded variation.

A.M.S. subject classification

40A05, 40B05, 46A45.

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