Structure properties of the Banach limit set

DOI10.1134/S1064562411070155zbMath1245.46007OpenAlexW2061872036MaRDI QIDQ416867

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

Publication date: 10 May 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562411070155

zbMATH Keywords

Cesàro operatorBanach limitsdilation operator

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Functional analytic methods in summability (40H05)

Related Items (5)

Extremal properties of the set of vector-valued Banach limits ⋮ Geometry of Banach limits and their applications ⋮ A direct approach to positive normalised traces on simply generated ideals ⋮ On Fourier-Haar coefficients of the function from the Marcinkiewicz space ⋮ Order properties of the set of Banach limits

Cites Work

• Characteristic functions of Banach limits
• Invariant Banach limits and applications
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• A contribution to the theory of divergent sequences
• Dixmier traces and some applications in non-commutative geometry
• Singular symmetric functionals and Banach limits with additional invariance properties
• Banach Limits

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