On weak filter convergence and the Radon-Riesz type theorem

DOI10.1016/S0252-9602(15)30089-8zbMath1363.40004OpenAlexW2195886128MaRDI QIDQ320502

Ling Xin Bao

Publication date: 6 October 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(15)30089-8

zbMATH Keywords

Banach spacestatistical convergencefilter convergenceRadon-Riesz property

Mathematics Subject Classification ID

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

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Weak statistical convergence and weak filter convergence for unbounded sequences

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