Invariant Banach limits and applications to noncommutative geometry
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Publication:2189544
DOI10.2140/PJM.2020.306.357zbMath1455.46023OpenAlexW3040656136MaRDI QIDQ2189544
Dmitriy Zanin, Evgeny M. Semenov, Pheodor A. Sukochev, Alexandr Usachev
Publication date: 16 June 2020
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2020.306.357
Banach sequence spaces (46B45) Functional analytic methods in summability (40H05) Noncommutative geometry (à la Connes) (58B34)
Related Items (4)
Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Invariant Banach limits and their convex subsets ⋮ Dilation invariant Banach limits ⋮ Geometry of Banach limits and their applications
Cites Work
- Unnamed Item
- Lebesgue constants of the Walsh system and Banach limits
- On the structure of invariant Banach limits
- Generalized limits with additional invariance properties and their applications to noncommutative geometry
- Singular traces. Theory and applications
- Dixmier traces generated by exponentiation invariant generalised limits
- Banach limits and traces on \(\mathcal{L}_{1, \infty}\)
- Invariant Banach limits and applications
- The Dixmier trace and asymptotics of zeta functions
- Spectral flow and Dixmier traces
- The local index formula in noncommutative geometry
- Dixmier traces and extrapolation description of noncommutative Lorentz spaces
- Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras
- Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits
- Invariant Banach limits and their extreme points
- Singular traces and residues of the $\\zeta$-function
- Banach-Hausdorff Limits
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