Banach limit and some new spaces of double sequences

Authors

MOHAMMAD MURSALEEN
SYED ABDUL MOHIUDDINE

DOI

10.3906/mat-0908-174

Abstract

In this paper, we define and study the Banach limit for double sequences and introduce some new spaces related to the concept of almost and strong almost convergence for double sequences. We characterize these spaces through some sublinear functionals and we also establish some inclusion relations.

Keywords

Double sequences; P-convergence; Banach limit; sublinear functionals; almost convergence; strong almost convergence

First Page

121

Last Page

130

Recommended Citation

MURSALEEN, MOHAMMAD and MOHIUDDINE, SYED ABDUL (2012) "Banach limit and some new spaces of double sequences," Turkish Journal of Mathematics: Vol. 36: No. 1, Article 11. https://doi.org/10.3906/mat-0908-174
Available at: https://journals.tubitak.gov.tr/math/vol36/iss1/11