Some norm inequalities of Davidson-power type. (English) Zbl 1489.47015
Summary: Recently, A. Al-Natoor et al. [Math. Inequal. Appl. 23, No. 2, 689–697 (2020; Zbl 1448.15023)] proved unitarily invariant norm inequalities involving concave increasing functions. They generalized an inequality of F. Kittaneh [J. Funct. Anal. 143, No. 2, 337–348 (1997; Zbl 0959.47005)] which improved an earlier inequality of K. R. Davidson and S. C. Power [J. Reine Angew. Math. 368, 43–62 (1986; Zbl 0579.46038)]. In this paper, we discuss some of these unitarily invariant norm inequalities involving convex increasing functions.
MSC:
| 47A30 | Norms (inequalities, more than one norm, etc.) of linear operators |
| 47B15 | Hermitian and normal operators (spectral measures, functional calculus, etc.) |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
