Banach limits and a measure on the set of 0-1-sequences

DOI10.1134/S0001434619110154zbMath1447.40004OpenAlexW2997804856WikidataQ126469640 ScholiaQ126469640MaRDI QIDQ2304494

N. N. Avdeev, Evgeny M. Semenov, Alexandr Usachev

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619110154

zbMATH Keywords

extreme pointsHausdorff measureBanach limits0-1-sequences

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Functional analytic methods in summability (40H05)

Related Items (3)

Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Geometry of Banach limits and their applications ⋮ Quadratic inequalities for functionals in l^{∞}

Cites Work

• Unnamed Item
• Invariant Banach limits and applications
• Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.)
• Extreme points of the set of Banach limits
• Almost none of the sequences of 0's and 1's are almost convergent
• A contribution to the theory of divergent sequences
• Nets of Extreme Banach Limits
• Invariant Banach limits and their extreme points
• Geometric properties of the set of Banach limits
• Banach Limits
• Banach-Hausdorff Limits

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