"Elementary operators and the Aluthge transform" by Fernanda Botelho and James Jamison
 

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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