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Matrix Transformations of the Maddox Vector-Valued Sequence Spaces

Authors:	Email author" target="_blank">Suthep?Suantai Email author Chanan?Sudsukh

Institution:	(1) Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand;(2) Department of Mathematics Satistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng Saen Campus, Nakhorn Prathom, 73140, Thailand

Abstract:	In this paper, we give the matrix characterizations from any normal vector-valued FK-space containing ø(X) into scalar-valued sequence space c(q) and by applying this result, we also obtain necessary and sufficient conditions for infinite matrices mapping the sequence spaces $c_{0}(X, p), c(X, p), \ell\infty(X, p),\ell(X, p),c_{0}(X, p), E_{r}(X, p)$ , and F_r(X, p) into the space c(q), where p = (Pk) and q = (qk) are bounded sequences of positive real numbers and r 0.AMS Subject Classification (2000): 46A45.

Keywords:	Matrix transformations Maddox vector-valued sequence spaces
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