Non-commutative Clarkson inequalities for unitarily invariant norms. (Q700653)
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scientific article; zbMATH DE number 1818949
| Language | Label | Description | Also known as |
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| English | Non-commutative Clarkson inequalities for unitarily invariant norms. |
scientific article; zbMATH DE number 1818949 |
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Non-commutative Clarkson inequalities for unitarily invariant norms. (English)
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22 October 2002
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The authors obtain two types of norm inequalities which are extensions of the classical Clarkson inequalities for the Schatten \(p\)-norms in [\textit{C. A. McCarthy}, Isr. J. Math. 5, 249--271 (1967; Zbl 0156.37902)]. The authors show these inequalities by using operator convex and concave functions. Moreover, they obtain new norm inequalities as corollaries of their main results.
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Clarkson inequalities
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Schatten \(p\)-norm
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unitarily invariant norm
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convex function
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Ky Fan norm
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0.9365628
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0.9353174
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0.90189254
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0.8973783
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0.8962503
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0.8944691
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0.8939548
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