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The essential selfcommutator of a subnormal operator

Author(s): John B. Conway; Nathan S. Feldman
Journal: Proc. Amer. Math. Soc. 125 (1997), 243-244.
MSC (1991): Primary 47B20; Secondary 30E10
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Abstract: In this paper an easier proof is obtained of Alexandru Aleman's extension of an inequality of Axler and Shapiro for subnormal operators to the essential norm. The method is applied to show that a hyponormal operator whose essential spectrum has area zero must be essentially normal.

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Additional Information:

John B. Conway
Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300

Nathan S. Feldman
Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300

DOI: 10.1090/S0002-9939-97-03698-8
PII: S 0002-9939(97)03698-8
Keywords: Subnormal operator, hyponormal operators, essential norm, selfcommutator
Received by editor(s): August 15, 1995
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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The following works have cited this article

Feldman, N.S., Essentially Subnormal Operators, Proc. Amer. Math. Soc. (no. 4) 127 (1999), 1171-1181. (English) MR 99m:47028


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