Decomposition of the set of Banach limits into discrete and continuous subsets

2024/01/21 by Avdeev, Nikolai, Semenov, Evgenii, Usachev, Alexandr +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2401.11493

Abstract

The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.

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