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Non-commutative Clarkson inequalities for unitarily invariant norms. (English) Zbl 1054.47011
The authors obtain two types of norm inequalities which are extensions of the classical Clarkson inequalities for the Schatten $$p$$-norms in [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.

MSC:
 47A30 Norms (inequalities, more than one norm, etc.) of linear operators 46B20 Geometry and structure of normed linear spaces
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