Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601709 | Linear Algebra and its Applications | 2010 | 8 Pages |
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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