Elementary operators and the Aluthge transform
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.
Linear Algebra and Its Applications
Botelho, F., & Jamison, J. (2010). Elementary operators and the Aluthge transform. Linear Algebra and Its Applications, 432 (1), 275-282. https://doi.org/10.1016/j.laa.2009.08.006