Abstract
Let X2 denote the space of all prime sense double gai sequences and A2 the space of all prime sense double analytic sequences. First we show that the set E = (s(mn) : m, n = 1, 2, 3, …) is a determining set for Xπ2. The set of all finite matrices transforming Xπ2 into FK-space Y denoted by (Xπ2: Y). We characterize the classes (Xπ2: Y) when Y = c02; c2; X2; l2;A2. But the approach to obtain these result in the present paper is by determining set for Xπ2. First, we investigate a determining set for Xπ2 and then we characterize the classes of matrix transformations involving Xπ2 and other known sequence spaces. .
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