State preference models and jointly continuous utilities

In the present work, we study the possibility to represent the preorders defined by the characteristic linear operators of financial (or economic) markets represented in the States Preference Model perspective by applying classical theorems of the existence of jointly continuous utilities. We conduct our exam by a strongly application-oriented mood. Indeed, by introducing the classic setting of Arrow-Debreu State Preference Model and its recent generalization to the sphere of Schwartz Linear Algebra in distribution spaces, we address the problem of extending some fundamental results of finite dimensional State Preference Decision Theory to a new case, characterized by a hard type infinite linear-topological dimensionality. In this case a representation theorem for submetrizable $k_omega$-space is applied.