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Almost convergence and a core theorem for double sequences

2004; Elsevier BV; Volume: 293; Issue: 2 Linguagem: Inglês

10.1016/j.jmaa.2004.01.015

1096-0813

Mursaleen, Osama H.H. Edely,

Advanced Harmonic Analysis Research

The idea of almost convergence was introduced by Moricz and Rhoades [Math. Proc. Cambridge Philos. Soc. 104 (1988) 283–294] and they also characterized the four dimensional strong regular matrices. In this paper we define the M-core for double sequences and determine those four dimensional matrices which transform every bounded double sequence x=[xjk] into one whose core is a subset of the M-core of x.