Geometric properties of the set of Banach limits

DOI10.1070/IM2014v078n03ABEH002700zbMath1309.40003OpenAlexW2327198007MaRDI QIDQ5495181

Alexandr Usachev, Pheodor A. Sukochev, Evgeny M. Semenov

Publication date: 31 July 2014

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2014v078n03abeh002700

zbMATH Keywords

extreme pointsseparating setsBanach limitsindependent sequencesalmost convergent sequences

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45) Functional analytic methods in summability (40H05)

Related Items (14)

On the structure of invariant Banach limits ⋮ Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Dilation invariant Banach limits ⋮ Extreme points of the set of dilation-invariant Banach limits ⋮ Order and geometric properties of the set of Banach limits ⋮ Geometry of Banach limits and their applications ⋮ Invariant Banach limits and their extreme points ⋮ On subsets of the space of bounded sequences ⋮ A direct approach to positive normalised traces on simply generated ideals ⋮ Banach limits and a measure on the set of 0-1-sequences ⋮ Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry ⋮ The main classes of invariant Banach limits ⋮ Order properties of the set of Banach limits ⋮ On Banach-Mazur limits

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