Sufficient conditions for factorable matrices to be bounded operators on a k

Savaş E., Şevli H., Rhoades B.

Rocky Mountain Journal of Mathematics, vol.39, no.2, pp.633-644, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1216/rmj-2009-39-2-633
  • Journal Name: Rocky Mountain Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.633-644
  • Keywords: A k spaces, Bounded operator, Factorable matrices, Rhaly matrices
  • Uşak University Affiliated: No

Abstract

A factorable matrix A is a lower triangular matrix with entries a nk = a nb k. The sequence space A k is defined in (2). In this paper we determine sufficient conditions for a nonnegative factorable matrix A to be a bounded operator on A k, i.e., A ∈ B(A k)- As corollaries we obtain sufficient conditions for the discrete Cesáro, terraced, and p-Cesáro matrices defined by Rhaly, to be in B(A k) Copyright © 2009 Rocky Mountain Mathematics Consortium.