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.


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