Subnormal operators with compact selfcommutator
- Cite this article as:
- Aleman, A. Manuscripta Math (1996) 91: 353. doi:10.1007/BF02567960
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For an arbitrary subnormal operator we estimate the essential norm and trace of commutators of the form [Tu, S], whereTu 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.