On some inequalities for unitarily invariant norms (Q2879470)
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scientific article; zbMATH DE number 6338672
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some inequalities for unitarily invariant norms |
scientific article; zbMATH DE number 6338672 |
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On some inequalities for unitarily invariant norms (English)
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2 September 2014
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unitarily invariant norm
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convex function
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inequality
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The authors prove some inequalities for unitarily invariant norms using convex functions, improving some known inequalities. In particular, they improve the inequality NEWLINE\[NEWLINE \|AB\| \leq \frac{1}{4} \|(A+B)^2\|, NEWLINE\]NEWLINE where \(A\) and \(B\) are positive semidefinite operators, which was given by \textit{R. Bhatia} and \textit{F. Kittaneh} [Linear Algebra Appl. 308, No. 1--3, 203--211 (2000; Zbl 0974.15016)].
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