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Elementary operators and the Aluthge transform

Elementary operators and the Aluthge transform,10.1016/j.laa.2009.08.006,Linear Algebra and Its Applications,Fernanda Botelho,James Jamison

Elementary operators and the Aluthge transform  
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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.
Journal: Linear Algebra and Its Applications - LINEAR ALGEBRA APPL , vol. 432, no. 1, pp. 275-282, 2010
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