engleski

Improved Heinz inequalities via the Jensen functional

By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we also discuss another approach to Heinz operator means which is more suitable in obtaining the corresponding operator inequalities for positive invertible operators.

Heinz mean; Heinz norm inequalities; Heinz operator inequalities; Jensen functional; monotonicity; convex function; unitarily invariant norm; refinement

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