Banach limit and some new spaces of double sequences (Q2892202)

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scientific article; zbMATH DE number 6047317
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Banach limit and some new spaces of double sequences
scientific article; zbMATH DE number 6047317

    Statements

    18 June 2012
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    double sequence space
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    Banach limits
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    almost convergence
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    Banach limit and some new spaces of double sequences (English)
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    The authors, following the work of \textit{G. Das} and \textit{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.
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