## Szegö and related inequalities for operator-convex functions.(English)Zbl 0852.47008

Summary: Consider the set of selfadjoint operators in a Hilbert space whose spectra are contained in an interval of $$\mathbb{R}$$. A class of functions on such operators called Wright-operator-convex is defined. A number of inequalities are obtained for these Wright-operator-convex functions.

### MSC:

 47A63 Linear operator inequalities 47A60 Functional calculus for linear operators 47B25 Linear symmetric and selfadjoint operators (unbounded)