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

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

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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Hauptverfasser: Avdeev, Nikolai, Semenov, Evgenii, Usachev, Alexandr, Zvolinskii, Roman
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Zusammenfassung: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.
DOI:10.48550/arxiv.2401.11493