Matrix transformations between the sequence spaces w(0)(p)(Lambda), v(0)(p)(Lambda), c(0)(p)(Lambda) (1 < p < infinity) and certain BK spaces

摘要

In this paper, we determine the beta-duals of the sets w(0)(p)(Lambda), v(0)(p)(Lambda) and c(0)(p)(Lambda) for exponentially bounded sequences A. Furthermore, we characterize matrix transformations between the sequence spaces w(0)(p)(Lambda), v(0)(p)(Lambda), c(0)(p)(Lambda) (1 < p < infinity) and certain BK spaces. Finally, we apply the Hausdorff measure of noncompactness to give necessary and sufficient conditions for a linear operator between these spaces to be compact. (C) 2002 Elsevier Inc. All rights reserved. [References: 13]