Abstract
Let A and B be self-adjoint operators with trace class anti-commutator AB+BA. In this paper we prove that tr(AkBl, AmBn]=0 where k,l,m,n are non-negative integers with kn+lm even and that AB is in the trace class if A≥0 or B≥0.
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Supported in part by NSF grant MCS-8108814 (AOZ)
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Xia, D. Anti-commutators and the related trace formulas. Integr equ oper theory 8, 119–136 (1985). https://doi.org/10.1007/BF01199984
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DOI: https://doi.org/10.1007/BF01199984