Selfcommutators of multicyclic hyponormal operators are always trace class. (English) Zbl 0283.47018


47B20 Subnormal operators, hyponormal operators, etc.
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47B47 Commutators, derivations, elementary operators, etc.
Full Text: DOI


[1] Tosio Kato, Smooth operators and commutators, Studia Math. 31 (1968), 535 – 546. · Zbl 0215.48802
[2] Charles A. McCarthy, \?_{\?}, Israel J. Math. 5 (1967), 249 – 271. · Zbl 0156.37902
[3] C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323 – 330. · Zbl 0197.10102
[4] C. R. Putnam, Trace norm inequalities for the measure of hyponormal spectra, Indiana Univ. Math. J. 21 (1971/72), 775 – 779. · Zbl 0239.47022
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