Unitarily invariant norm inequalities for matrix means. (English) Zbl 1501.15016
Summary: The main target of this article is to present several unitarily invariant norm inequalities which are refinements of arithmetic-geometric mean, Heinz and Cauchy-Schwartz inequalities by convexity of some special functions.
MSC:
| 15A45 | Miscellaneous inequalities involving matrices |
| 26D20 | Other analytical inequalities |
| 47A30 | Norms (inequalities, more than one norm, etc.) of linear operators |
| 39B62 | Functional inequalities, including subadditivity, convexity, etc. |
Keywords:
unitarily invariant norm inequality; Young inequality; Heinz inequality; Cauchy-Schwartz inequalityReferences:
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