REFINEMENTS OF CHOI-DAVIS-JENSEN'S INEQUALITY.

Authors :: KHOSRAVI, M.
AUJLA, J. S.
DRAGOMIR, S. S.
MOSLEHIAN, M. S.
Source :: Bulletin of Mathematical Analysis & Applications; Sep2011, Vol. 3 Issue 2, p127-133, 7p
Publication Year :: 2011
Abstract: Let Φ<subscript>1</subscript>,…, Φ<subscript>n</subscript> be strictly positive linear maps from a unital C*-algebra A into a C*-algebra B and let Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. Φ<subscript>i</subscript> be unital. If f is an operator convex function on an interval J, then for every self-adjoint operator A ∈ A with spectrum contained in J, the following refinement of the Choi-Davis-Jensen inequality holds: Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. [ABSTRACT FROM AUTHOR]