The aim of this article is to give an infinite dimensional analogue a result Choi and Effros concerning dual spaces finite unital operator systems. An (not necessarily unital) system self-adjoint subspace L(H), equipped with the induced matrix norm cone. We say that T dualizable if one can find equivalent on space T? such under canonical cone, becomes system. show only ordered normed M?(T)sa sa...

Homogeneous Banach spaces determined by the Jacobi translation operator are introduced and studied. Based on this translation operator a Jacobi differential operator is analyzed. Approximation procedures in the homogeneous Banach spaces are presented.