Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601085 | Linear Algebra and its Applications | 2012 | 10 Pages |
Abstract
We prove some refinements of an inequality due to X. Zhan in an arbitrary complex Hilbert space by using some results on the Heinz inequality. We present several related inequalities as well as new variants of the Corach–Porta–Recht inequality. We also characterize the class of operators satisfying ‖SXS-1+S-1XS+kX‖⩾(k+2)‖X‖ under certain conditions.
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