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The essential selfcommutator of a subnormal operator |
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| Authors: | John B Conway Nathan S Feldman |
| Institution: | Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300 Nathan S. Feldman ; Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300 |
| 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. |
| Keywords: | Subnormal operator hyponormal operators essential norm selfcommutator |
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