A remark about the Orlicz-Pettis theorem and the statistical convergence

DOI10.1007/S10114-010-7472-5zbMath1206.40010OpenAlexW1967903400MaRDI QIDQ5962267

Marina Nicasio-Llach, Fernando Rambla-Barreno, Antonio Aizpuru

Publication date: 21 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7472-5

zbMATH Keywords

summabilitystatistical convergenceOrlicz-Pettis theorem

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items (4)

\(f\)-statistical convergence on topological modules ⋮ Orlicz-Pettis Type Theorems via Strong p-Cesàro Convergence ⋮ Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem ⋮ Vector-valued spaces of multiplier statistically convergent series and uniform convergence

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• ON STATISTICAL CONVERGENCE
• Sur la convergence statistique

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