Ansari and Gupta  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.