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- W2000459403 abstract "It is shown that if $T$ is an operator on a separable complex Hilbert space and $X$ is a Hilbert-Schmidt operator such that $TX - XT$ is a trace class operator, then the trace of $TX - XT$ is zero provided one of the two conditions holds: (a) ${T^2}$ is normal; (b) ${T^n}$ is normal for some integer $n > 2$ and ${T^*}T - T{T^*}$ is a trace class operator. Related results involving essentially unitary operators and Cesà ro operators are also given." @default.
- W2000459403 created "2016-06-24" @default.
- W2000459403 creator A5021411130 @default.
- W2000459403 date "1991-03-01" @default.
- W2000459403 modified "2023-09-26" @default.
- W2000459403 title "Some trace class commutators of trace zero" @default.
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- W2000459403 doi "https://doi.org/10.1090/s0002-9939-1991-1086332-x" @default.
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