A matrix formulation of Grüss inequality

  title={A matrix formulation of Gr{\"u}ss inequality},
  author={Peter F. Renaud},
Abstract A matrix trace inequality, which can be regarded as a non-commutative version of Gruss inequality is derived. The proof easily generalises to the more general case of bounded linear operators on a Hilbert space. Other inequalities such as the Kantorovich inequality can be readily derived.