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On some Zweier \(I\)-convergent double sequence spaces defined by a modulus function. (English) Zbl 1316.46010

Summary: In this article we introduce the double sequence spaces \(_2\mathcal{Z}^I(f)\), \(_2\mathcal{Z}_0^I(f)\) and \(_2\mathcal{Z}_\infty^I(f)\) for a modulus function \(f\) and study some of the topological and algebraic properties of these spaces.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
40A35 Ideal and statistical convergence
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