Title of article :
Banach limit and some new spaces of double sequences
Author/Authors :
Mursaleen, Mohammad Aligarh Muslim University - Department of Mathematics, INDIA , Mohiuddine, Syed Abdul Jazan University - Faculty of Science - Department of Mathematics, SAUDI ARABIA
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
