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

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

2009-06-22

arxiv.org/abs/0906.4010v1

Mathematics

Functional Analysis

11 pages

Scientific paper

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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