Multipliers on some sequence spaces

Abstract

AbstractLet ω be the space of all (complex) sequences. If E, F are subspaces of ω and if A is any (infinite) normal matrix, we setandIf A is the matrix of a sequence–sequence summability transform, Ā and  shall denote the series–sequence and series–series forms of the transform, respectively. The multiplier spaces M(c(Ā), c(Ā)), M(lp(Â), l1(Â)) and M(lp(Â), c(Ā)) are characterized (1 ≤ p < ∞). Partial results are given for the spaces M(c(Ā), lp(Â)) and M(lp(Â), lp(Â)).