Geometry of Banach limits and their applications

DOI10.1070/RM9901zbMath1464.46012OpenAlexW3094101242MaRDI QIDQ5138465

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

Publication date: 3 December 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9901

zbMATH Keywords

extreme pointsnon-commutative geometryCesàro operatorStone-Čech compactificationBanach limitsdilation operatoralmost convergent sequencesinvariant Banach limitssingular trace of operator

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Banach sequence spaces (46B45) Duality and reflexivity in normed linear and Banach spaces (46B10) Operator ideals (47L20)

Related Items (7)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ The subspace of almost convergent sequences ⋮ Hausdorff dimension of the set of almost convergent sequences ⋮ Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Invariant Banach limits and their convex subsets ⋮ Almost convergent \(0\)-\(1\)-sequences and primes ⋮ Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry

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