Spectral characterization of sums of commutators II
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.
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