Multidimensional matrix characterizations of the Banach and Pringsheim core

Patterson R. F., Savaş E.

Applied Mathematics Letters, vol.20, no.4, pp.359-365, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1016/j.aml.2006.03.016
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.359-365
  • Keywords: Almost P-convergent, Banach core, P-convergent, Pringsheim core, Pringsheim limit point
  • Uşak University Affiliated: No

Abstract

In this paper we shall present a multidimensional invariant Pringsheim core theorem. Conditions on a four-dimensional matrix transformation that will ensure that the transformed Pringsheim core of a bounded double sequence [x] is contained in the double Banach core of [x] shall also be presented. © 2006.