Dixmier traces, Cesàro means and logarithms

DOI10.1090/PROC/15901OpenAlexW4200294511MaRDI QIDQ5097334

Jingbo Xia

Publication date: 23 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15901

zbMATH Keywords

measurabilityDixmier traceCesàro mean

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative geometry (à la Connes) (58B34)

Cites Work

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• Dixmier trace for Toeplitz operators on symmetric domains
• Singular traces. Theory and applications
• Estimating Dixmier traces of Hankel operators in Lorentz ideals
• The Dixmier trace of Hankel operators on the Bergman space
• The action functional in non-commutative geometry
• Toeplitz operators associated with measures and the Dixmier trace on the Hardy space
• Hankel operators and the Dixmier trace on the Hardy space
• Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$

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