A last theorem of Kalton and finiteness of Connes' integral

DOI10.1016/j.jfa.2020.108664zbMath1460.46068OpenAlexW3033230698MaRDI QIDQ785874

Dmitriy Zanin, Pheodor A. Sukochev, Steven Lord

Publication date: 12 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2020.108664

zbMATH Keywords

noncommutative geometryDixmier traceCwikel estimatetensor multiplier

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (9)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ A weak type $(1,1)$ estimate for the Hilbert operator in higher-dimensional setting ⋮ A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry ⋮ Optimal Cwikel-Solomyak estimates ⋮ Connes integration formula: a constructive approach ⋮ Connes' integration and Weyl's laws ⋮ Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case ⋮ Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case

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