Sublinear and continuous order-preserving functions for noncomplete preorders
Gianni Bosi, Magali E. Zuanon
Abstract
We characterize the existence of a nonnegative, sublinear and continuous order-preserving function for a not necessarily complete preorder on a real convex cone in an arbitrary topological real vector space. As a corollary of the main result, we present necessary and sufficient conditions for the existence of such an order-preserving function for a complete preorder.
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