Order and geometric properties of the set of Banach limits

DOI10.1090/SPMJ/1452zbMath1373.46008OpenAlexW2600187355MaRDI QIDQ2970914

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

Publication date: 31 March 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1452

zbMATH Keywords

extreme pointsalmost convergenceBanach limitsdilation operator

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Functional analytic methods in summability (40H05)

Related Items (9)

On the structure of invariant Banach limits ⋮ Banach limits: invariance and functional characteristics ⋮ Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Invariant Banach limits and their convex subsets ⋮ Extreme points of the set of dilation-invariant Banach limits ⋮ Geometry of Banach limits and their applications ⋮ Invariant Banach limits and their extreme points ⋮ A direct approach to positive normalised traces on simply generated ideals ⋮ The main classes of invariant Banach limits

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