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arXiv · 2401.11493

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

Nikolai Avdeev·Evgenii Semenov·Alexandr Usachev·Roman Zvolinskii
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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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Nikolai Avdeev, Evgenii Semenov, Alexandr Usachev, Roman Zvolinskii. 2024-01-21. Decomposition of the set of Banach limits into discrete and continuous subsets. https://arxiv.org/abs/2401.11493

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