Some Inequalities on Generalized Matrix-Trace
Zhou Qi-sheng · Journal of Anqing Teachers College · 2010
In this paper,for a C*-algebra A,we study the properties of a matrix-trace on the C*-algebra Mn(A) which is a positive linear mapping τ:Mn(A)→A such that τ(u*au)=τ(a)(a∈Mn(A)),u∈U(Mn(A)) and τ(a2)≤(τ(a))2(a≥0),and obtain some inequalities relating to Bellman Problem.