Spectral characterization of sums of commutators II
Kenneth J. Dykema, Nigel J. Kalton
Abstract
For countably generated ideals, , of B(), geometric stability is necessary for the canonical spectral characterization of sums of (,B())--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 (,B())--commutators. Also, every trace on every geometrically stable ideal is a spectral trace.
Create a lesson
Related papers
Revisiting the Upper Bild of Quaternionic Numerical Ranges
Jie Tian, Tin-Yau Tam
Pseudo-Fredholm operators form a regularity on Hilbert spaces
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
A Hardy space approximation supporting zero-free half-planes for the ζ-function
Juan Manzur, Gustavo Quintero
Small Hankel operators on weighted Besov spaces
Chen Li, Kai Wang
Spectra of Beurling algebras of abelian groups
Nico Spronk, Zhihao Zhang
Frame Properties of Effective Stationary Sequences
Chad Berner, John E. Herr, Palle E. T. Jorgensen