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Banach limit and some new spaces of double sequences. (English) Zbl 1248.46006

The authors, following the work of G. Das and S. K. Sahoo [J. Math. Anal. Appl. 164, No. 2, 381–398 (1992; Zbl 0778.46011)], extend the results of this paper to double sequences. They introduce some double sequence spaces related to almost and strong almost convergence and characterize these spaces in terms of some sublinear functionals connected with Banach limits.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
40B05 Multiple sequences and series
40H05 Functional analytic methods in summability

Citations:

Zbl 0778.46011
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