Non-commutative Clarkson inequalities for unitarily invariant norms
Copyright policy )Non-commutative Clarkson inequalities for unitarily invariant norms
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.
- Hashemite University Jordan
- University of Jordan Jordan
convex function, Geometry and structure of normed linear spaces, Clarkson inequalities, unitarily invariant norm, Ky Fan norm, Norms (inequalities, more than one norm, etc.) of linear operators, Schatten \(p\)-norm
convex function, Geometry and structure of normed linear spaces, Clarkson inequalities, unitarily invariant norm, Ky Fan norm, Norms (inequalities, more than one norm, etc.) of linear operators, Schatten \(p\)-norm
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