Mohammad MURSALEEN, Syed Abdul MOHIUDDINE

72100

Banach limit and some new spaces of double sequences

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.

Anahtar Kelimeler:

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

Banach limit and some new spaces of double sequences

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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