POSITIVITY, vol.17, no.3, pp.841-861, 2013 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Quantum cone, Multinormed W*-algebra, Quantum system, Quantum order, OPERATOR-SPACES, MOMENT PROBLEM, ALGEBRAS, BIPOLAR
In this paper we investigate quantum systems which are locally convex versions of abstract operator systems. Our approach is based on the duality theory for unital quantum cones. We prove the unital bipolar theorem and provide a representation theorem for a quantum system being represented as a quantum -system.