Vector-valued Sequence Spaces Generated by Infinite Matrices
نویسنده
چکیده
Let A= (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp , and several others. In this paper, conditions under which these three paranormed spaces are separable, complete, and r convex, are established. 2000 Mathematics Subject Classification. 40A05, 40C05, 40H05, 46A35, 46A45.
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