ON GENERALIZED n-DUALS OF SOME DOUBLE SEQUENCE SPACES

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 161

Volume : 5 , Issue : 1
DOI:
Author :
Seraj Ahmed Khan (Department of Mathematics & Statistics, D.D.U. Gorakhpur University, Gorakhpur-273009, (U.P.) India)
Ashfaque A. Ansari (Department of Mathematics & Statistics, D.D.U. Gorakhpur University, Gorakhpur-273009, (U.P.) India)
Nafis Ahmad (Department of Mathematics, Shibli National P.G. College, Azamgarh (U.P.) India)

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.

lr

.....

Download PDF 161 Click here to Subscribe now