## On an inequality of Lieb and Thirring.(English)Zbl 0705.47020

Let a and b be positive selfadjoint operators on a Hilbert space. Then under appropriate assumptions there holds $Trace((b^{1/2}ab^{1/2})^{qk})\leq Trace((b^{q/2}a^ qb^{q/2})^ k).$
Reviewer: A.Pietsch

### MSC:

 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.)