Title

Elementary operators and the Aluthge transform

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. © 2009 Elsevier Inc. All rights reserved.

Publication Title

Linear Algebra and Its Applications

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