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Operator norm inequalities of Minkowski type. (English) Zbl 1162.47012

The authors use some unitarily invariant norm inequalities concerning convex and concave functions to establish operator norm inequalities of Minkowski type. Some of their results are generalizations of [F.Hiai and X.–Z.Zhan, Linear Algebra Appl.341, No.1–3, 151–169 (2002; Zbl 0994.15024)] for \(n\)-tuples of operators.

MSC:

47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47B20 Subnormal operators, hyponormal operators, etc.

Citations:

Zbl 0994.15024