## 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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