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.
Reviewer: Mohammad Sal Moslehian (Mashhad)
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. |