English

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

Functional Analysis 2009-06-23 v1

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.

Keywords

Cite

@article{arxiv.0906.4010,
  title  = {Simplified and Equivalent Characterizations of Banach Limit Functional and Strong Almost Convergence},
  author = {Chao You},
  journal= {arXiv preprint arXiv:0906.4010},
  year   = {2009}
}

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11 pages