Spectral characterization of sums of commutators II
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For countably generated ideals, script J sign, of B(ℋ), geometric stability is necessary for the canonical spectral characterization of sums of (script J sign, B(ℋ ))-commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. There are some ideals, script J sign, having quasi-nilpotent elements that are not sums of (script J sign, B(ℋ))-commutators. Also, every trace on every geometrically stable ideal is a spectral trace.
author list (cited authors)
Dykema, K. J., & Kalton, N. J.