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On some vector valued sequence spaces defined using a modulus function

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Publication:1307659
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zbMath0935.46008MaRDI QIDQ1307659

P. D. Srivastava, Dalim K. Ghosh

Publication date: 4 May 2000

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

modulus functionvector valued sequence spacescomplete paranormed spaceconvergence in paranormcoordinatewise convergencemonotone paranorm


Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Functional analytic methods in summability (40H05) Modular spaces (46A80)


Related Items (8)

Unnamed Item ⋮ df-statistical convergence in connection with a modulus in metric spaces ⋮ Density by moduli and statistical boundedness ⋮ Density by moduli and lacunary statistical convergence ⋮ Convergence of measurable functions in the sense of density ⋮ Unnamed Item ⋮ Topological properties of some sequences defined over n−normed spaces ⋮ \(f\)-statistical convergence of order \(\alpha\) and strong Cesàro summability of order \(\alpha\) with respect to a modulus







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