Spectral Characterization of Sums of Commutators Ii
نویسندگان
چکیده
For countably generated ideals, J , of B(H), geometric stability is necessary for the canonical spectral characterization of sums of (J ; B(H)){commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. 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.
منابع مشابه
ar X iv : m at h / 97 09 20 8 v 1 [ m at h . FA ] 8 S ep 1 99 7 SPECTRAL CHARACTERIZATION OF SUMS OF COMMUTATORS II
For countably generated ideals, J , of B(H), geometric stability is necessary for the canonical spectral characterization of sums of (J , B(H))–commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. 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...
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