A Lidskii type formula for Dixmier traces

DOI10.1016/j.crma.2004.12.005zbMath1061.47020OpenAlexW2046273742MaRDI QIDQ1764106

Nurulla A. Azamov, Pheodor A. Sukochev

Publication date: 23 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.12.005

zbMATH Keywords

pseudodifferential operatorsDixmier tracesvon Neumann factor

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (6)

Generalized limits with additional invariance properties and their applications to noncommutative geometry ⋮ Banach limits and traces on \(\mathcal{L}_{1, \infty}\) ⋮ Lidskii-type formulae for Dixmier traces ⋮ Which traces are spectral? ⋮ Singular symmetric functionals and stabilizing subspaces of Marcinkiewicz spaces ⋮ Dixmier traces of operators on Banach and Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dixmier traces as singular symmetric functionals and applications to measurable operators
• The Kadec-Klee property in symmetric spaces of measurable operators
• Sums of commutators in non-commutative Banach function spaces.
• Sums of commutators in ideals and modules of type II factors.
• Generalized s-numbers of \(\tau\)-measurable operators
• Spectral flow and Dixmier traces
• \(C^*\)-algebras of almost periodic pseudo-differential operators
• Weak compactness criteria in symmetric spaces of measurable operators

This page was built for publication: A Lidskii type formula for Dixmier traces