Certain integral inequalities involving tensor products, positive linear maps, and operator means

Abstract

Abstract We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means. In particular, the Kantorovich, Grüss, and reverse Hölder-McCarthy integral inequalities are obtained as special cases.

Keywords

• continuous field of operators
• Bochner integral
• tensor product
• positive linear map
• operator mean