Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits

• Autorzy: Fedor Sukochev , Alexandr Usachev
• Języki publikacji: EN

Abstrakty

EN

This paper studies the subset of singular traces generated by exponentiation-invariant extended limits. We describe relations between this subset and other important subsets of singular traces. We prove several conditions for measurability of operators from the weak trace class ideal with respect to the traces generated by exponentiation-invariant extended limits. We resolve an open question raised in [S. Lord, F. Sukochev, Measure theory in noncommutative spaces, SIGMA Symmetry Integrability Geom. Methods Appl. 6 (2010), paper 072, 36] in the setting of the weak trace class ideal.

Słowa kluczowe

EN

Dixmier traces, measurable operators, extended limits.

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2015
• Tom: 55
• Numer: 2

Daty

wydano

2015

online

2016-05-25

Twórcy

autor

Fedor Sukochev

autor

Alexandr Usachev

Identyfikatory

DOI

10.14708/cm.v55i2.1102