Article ID Journal Published Year Pages File Type
4601085 Linear Algebra and its Applications 2012 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory