A-SUMMABILITY AND FRECHET SPACES

Citation
Qa. Mursaleen,"khan, A-SUMMABILITY AND FRECHET SPACES, Indian Journal of Pure and Applied Mathematics, 25(5), 1994, pp. 535-540
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00195588
Volume
25
Issue
5
Year of publication
1994
Pages
535 - 540
Database
ISI
SICI code
0019-5588(1994)25:5<535:AAFS>2.0.ZU;2-L
Abstract
The idea of A-summability was introduced by H. T. Bell1 which is a gen eralization of the usual matrix summability of A = (a(nk)), where A de notes the sequence of matrices {A(i)}. Let c(A) = {x : A x is converge nt}, and v(A) = {x : A x is-an-element-of v}. In the present paper, we study some topological properties of c(A) and v(A).