Khan, Vakeel A.; Khan, Nazneen; Tabassum, Sabiha; Ebadullah, Khalid; Breaz, Daniel On some Zweier \(I\)-convergent double sequence spaces defined by a modulus function. (English) Zbl 1316.46010 Analysis, München 34, No. 4, 403-413 (2014). 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. Cited in 1 Document MSC: 46A45 Sequence spaces (including Köthe sequence spaces) 40A35 Ideal and statistical convergence Keywords:ideal; filter; modulus function; Lipschitz function; \(I\)-convergence field; \(I\)-convergence; monotone space; solid space PDFBibTeX XMLCite \textit{V. A. Khan} et al., Analysis, München 34, No. 4, 403--413 (2014; Zbl 1316.46010) Full Text: DOI