engleski

Sherman’s operator inequality on a Hilbert space with application to operator means and relative operator entropy

Considering selfadjoint operators from C*-algebra on a Hilbert spaces and unital positive linear maps between C*-algebras we establish Sherman’s operator inequalities for operator convex functions. Using extended idea of convexity to operator functions of several variables we obtaine multidimensional Sherman’s operator inequality. Obtained result we apply to establish new results that include the well known operator means and relative operator entropy.

Sherman inequality ; majorization ; operator convex function ; entropy

nije evidentirano