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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Veröffentlicht in:Annals of functional analysis 2024-10, Vol.15 (4), Article 81
Hauptverfasser: Avdeev, Nikolai, Semenov, Evgenii, Usachev, Alexandr, Zvolinskii, Roman
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
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.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-024-00382-5