Matrix transformations between FK-spaces and the sequence spaces m(phi) and n(phi)

In this paper, we characterize the matrix classes (X, m(phi)) and (X, n(phi)), where X is any arbitrary FK space and m(phi) and n(phi) are BK spaces introduced by Sargent (J. London Math. Sec. 35 (1960), 161-170). We also deduce some important corollaries for the classes (m(phi), m(psi)), (m(phi), n(psi)), (n(phi), m(psi)), (n(phi), n(psi)), (l(p), m(phi)), and (l(p), n(n phi)). (C) 1995 Academic Press, Inc.