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Subnormal operators with compact selfcommutator

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Abstract

For an arbitrary subnormal operator we estimate the essential norm and trace of commutators of the form [T u, S], whereT u is a Toeplitz operator with continuous symbol. In particular, we obtain criteria for the compactness of [S *,S]. The trace estimates apply to multiplication operators on Hardy spaces over general domains.

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Authors and Affiliations

  1. Fachbereich Mathematik, Fern Universität Hagen, 58054, Hagen, Germany

    Alexandru Aleman

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  1. Alexandru Aleman
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Aleman, A. Subnormal operators with compact selfcommutator. Manuscripta Math 91, 353–367 (1996). https://doi.org/10.1007/BF02567960

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  • DOI: https://doi.org/10.1007/BF02567960

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