Multidimensional Matrix Characterizations of the Banach and Pringsheim Core

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. (C) 2006 Published by Elsevier Ltd.