Dixmier traces generated by exponentiation invariant generalised limits

DOI10.4171/JNCG/158zbMath1303.46053arXiv1210.3398OpenAlexW2007700792MaRDI QIDQ744410

Dmitriy Zanin, Pheodor A. Sukochev, Alexandr Usachev

Publication date: 25 September 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3398

zbMATH Keywords

Dixmier traceLidskij formula

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)

Related Items (10)

Dixmier traces and non-commutative analysis ⋮ Fubini theorem in noncommutative geometry ⋮ Dixmier traces and residues on weak operator ideals ⋮ Hausdorff dimension of the set of almost convergent sequences ⋮ Banach limits and traces on \(\mathcal{L}_{1, \infty}\) ⋮ Invariant Banach limits and applications to noncommutative geometry ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ Geometry of Banach limits and their applications ⋮ Advances in Dixmier traces and applications ⋮ Dixmier traces and extrapolation description of noncommutative Lorentz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized limits with additional invariance properties and their applications to noncommutative geometry
• Dixmier traces as singular symmetric functionals and applications to measurable operators
• Lidskii-type formulae for Dixmier traces
• Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces
• The Dixmier trace and asymptotics of zeta functions
• Generalized s-numbers of \(\tau\)-measurable operators
• Spectral flow and Dixmier traces
• The Hochschild class of the Chern character for semifinite spectral triples
• Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras
• On the distinction between the classes of Dixmier and Connes-Dixmier traces
• Super-Diagonal Forms for Compact Linear Operators
• Dixmier traces and some applications in non-commutative geometry
• Spectral characterization of sums of commutators I

This page was built for publication: Dixmier traces generated by exponentiation invariant generalised limits