Bounds for the norm of lower triangular matrices on the Cesàro weighted sequence space

摘要

This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from lp(w) into cp(w), where cp(w) is the Cesàro weighted sequence space and (wn) is a non-negative sequence. Also this problem is considered for lower triangular matrix operators from cp(w) into lp(w), and the norms of certain matrix operators such as Cesàro, Nörlund and weighted mean are computed.