Elementary operators and the Aluthge transform |
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| Authors: | Fernanda Botelho |
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| Affiliation: | Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, United States |
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| Abstract: | We characterize essential normality for certain elementary operators acting on the Hilbert-Schmidt class. We find the Aluthge transform of an elementary operator of length one. We show that the Aluthge transform of an elementary 2-isometry need not be a 2-isometry. We also characterize hermitian elementary operators of length 2. |
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| Keywords: | Primary 47A62 47A63 Secondary 47B20 46H99 |
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