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

Fedor Sukochev, and Alexandr Usachev. "Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits." Commentationes Mathematicae 55.2 (2015): null. <http://eudml.org/doc/292377>.

@article{FedorSukochev2015,
abstract = {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.},
author = {Fedor Sukochev, Alexandr Usachev},
journal = {Commentationes Mathematicae},
keywords = {Dixmier traces, measurable operators, extended limits.},
language = {eng},
number = {2},
pages = {null},
title = {Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits},
url = {http://eudml.org/doc/292377},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Fedor Sukochev
AU - Alexandr Usachev
TI - Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 2
SP - null
AB - 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.
LA - eng
KW - Dixmier traces, measurable operators, extended limits.
UR - http://eudml.org/doc/292377
ER -