A remark about the statistical Cesàro summability and the Orlicz-Pettis theorem

DOI10.1007/S10474-009-9021-1zbMath1224.40016OpenAlexW1998198349MaRDI QIDQ624220

Sumit K. Garg

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9021-1

zbMATH Keywords

Cesàro 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 ⋮ On some vector valued multiplier spaces with statistical Cesàro summability

Cites Work

• Unnamed Item
• Unconditionally Cauchy series and Cesàro summability
• About the statistical uniform convergence
• Matrix methods in analysis
• A characterization of Banach spaces with separable duals via weak statistical convergence
• ON STATISTICAL CONVERGENCE
• Sur la convergence statistique

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