Spectral characterization of sums of commutators II

Authors
Dykema, KJ Kalton, NJ
Citation
Kj. Dykema et Nj. Kalton, Spectral characterization of sums of commutators II, J REIN MATH, 504, 1998, pp. 127-137
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN journal
00754102 → ACNP
Volume
504
Year of publication
1998
Pages
127 - 137
Database
ISI
SICI code
0075-4102(19981127)504:<127:SCOSOC>2.0.ZU;2-Z
Abstract
For countably generated ideals, J, of B (H), geometric stability is necessa ry for the canonical spectral characterization of sums of (J B(H))-commutat ors to hold. This answers a question raised by Dykema, Figiel, Weiss and Wo dzicki. There are some ideals, J, having quasi-nilpotent elements that are not sums of(J, B (H))-commutators. Also, every trace on every geometrically stable ideal is a spectral trace.