We introduce notions of finite presentation and co-exactness which serve as qualitative quantitative analogues finite-dimensionality for operator modules over completely contractive Banach algebras. With these we begin the development a local theory by introducing lifting property, nuclearity, semi-discreteness. For large class prove that property is equivalent to flatness, generalizing space r...

Amenability is a geometric property of convex cones that stronger than facial exposedness and assists in the study error bounds for conic feasibility problems. In this paper we establish numerous properties amenable investigate relationships between amenability other cones, such as niceness projectional exposure. We show compact slice closed cone equivalent to cone, prove several results on pre...