The Matrix Transformations on Orlicz Space of Χ
نویسنده
چکیده
Let χ denote the space of all gai sequences and Λ the space of all analytic sequences. First we show that the set E = { s(k) : k = 1, 2, 3, · · · } is a determining set for χM . The set of all finite matrices transforming χM into FKspace Y denoted by (χM : Y ) . We characterize the classes (χM : Y ) when Y = (c0)π , cπ, χM , `π, `s,Λπ, hπ. In summary we have the following table: ↗ (c0)π cπ χM `π `s Λπ hπ χM Necessary and sufficient condition on the matrix are obtained But the approach to obtain these result in the present paper is by determining set for χM . First, we investigate a determining set for χM and then we characterize the classes of matrix transformations involving χM and other known sequence spaces. 2000 Mathematics Subject Classification: 40A05,40C05,40D05.
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