Local spectral properties of commutators
نویسندگان
چکیده
منابع مشابه
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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Suppose J is a two-sided quasi-Banach ideal of compact operators on a separable innnite-dimensional Hilbert space H. We show that an operator T 2 J can be expressed as nite linear combination of commutators A;B] where A 2 J and B 2 B(H) if and only its eigenvalues (n) (arranged in decreasing order of absolute value, repeated according to algebraic multiplicity and augmented by zeros if necessar...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1995
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500019106