Principal measures and spectral shift measures associated with Dixmier traces

DOI10.1016/j.jfa.2022.109667OpenAlexW4291073746MaRDI QIDQ2170658

Jingbo Xia

Publication date: 6 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109667

zbMATH Keywords

Dixmier traceprincipal measurespectral shift measure

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Special classes of linear operators (47Bxx) General theory of linear operators (47Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dixmier trace for Toeplitz operators on symmetric domains
• Singular traces. Theory and applications
• The Dixmier trace of Hankel operators on the Bergman space
• The action functional in non-commutative geometry
• Traces of commutators of integral operators
• Mosaics, principal functions, and mean motion in von Neumann algebras
• On the existence of quasicentral approximate units relative to normed ideals. I
• An integral formula for Schatten norm on the Hardy space: the only high-dimensional case
• Commutators and systems of singular integral equations. I
• Hankel operators and the Dixmier trace on the Hardy space
• On a theorem of Weyl-von Neumann
• Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$
• An Invariant for Certain Operator Algebras

This page was built for publication: Principal measures and spectral shift measures associated with Dixmier traces