Simplified and Equivalent Characterizations of Banach Limit Functional and Strong Almost Convergence

2009/06/22 by Chao You, You, Chao
Mathematics · #46A22 #46B45 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46A22 #msc:46B45

paper · pdf · doi:10.48550/arxiv.0906.4010

11 pages

arxiv created 2009/06/22 · openalex publication_date 2009/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give simplified and equivalent characterizations of Banach limit functional, which is the minimum requirement to characterize strong almost convergence. With this machinery, we show that Hajdukovic's quasi-almost convergence is equivalent to strong almost convergence.

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