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Some new double sequence spaces of invariant means. (English) Zbl 1195.46005

Summary: We define some new spaces of double sequences involving the idea of \(\sigma \)-mean; i.e., we define the spaces of strongly \(\sigma \)-convergent, absolutely \(\sigma \)-almost convergent, \(\sigma \)-almost bounded and absolutely \(\sigma \)-convergent double sequences and establish some inclusion relations along with some numerical examples.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
40C05 Matrix methods for summability
40H05 Functional analytic methods in summability
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