Trace class self-commutators
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- by C. A. Berger and Marion Glazerman Ben-Jacob PDF
- Trans. Amer. Math. Soc. 277 (1983), 75-91 Request permission
Abstract:
This paper extends earlier results of Berger and Shaw to all ${W^\ast }$ algebras. The multiplicity of an operator in a ${W^\ast }$ algebra is defined in terms of the trace on the ${W^\ast }$-algebra, and it is shown that if $T$ is a hyponormal operator in such an algebra, the trace of its self-commutator is bounded by this multiplicity times the area of the spectrum of $T$, divided by $\pi$.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 277 (1983), 75-91
- MSC: Primary 47C15; Secondary 46L10, 47B20
- DOI: https://doi.org/10.1090/S0002-9947-1983-0690041-6
- MathSciNet review: 690041