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...

where g:(0, 1)-»X is an essentially bounded strongly measurable function. In this paper we examine analogues of the Radon-Nikodym Property for quasiBanach spaces. If 0 < p < 1, there are several possible ways of defining "differentiable" operators on Lp, but they inevitably lead to the conclusion that the only differentiable operator is zero. For example, a differentiable operator on L\ has the...

In this paper, we prove that every F ∗ space (i.e., Hausdorff topological vector space satisfying the first countable axiom) can be characterized by means of its “standard generating family of pseudo-norms”. By using the standard generating family of pseudo-norms P, the concepts of P-bounded set and γ-maxpseudo-norm-subadditive operator in F ∗ space are introduced. The uniform boundedness princ...