Spectral characterization of sums of commutators II
Functional Analysis
2016-09-07 v1
Abstract
For countably generated ideals, , of , geometric stability is necessary for the canonical spectral characterization of sums of --commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. There are some ideals, , having quasi--nilpotent elements that are not sums of --commutators. Also, every trace on every geometrically stable ideal is a spectral trace.
Keywords
Cite
@article{arxiv.math/9709208,
title = {Spectral characterization of sums of commutators II},
author = {Kenneth J. Dykema and Nigel J. Kalton},
journal= {arXiv preprint arXiv:math/9709208},
year = {2016}
}