Displaying similar documents to “Homogeneous cones and Abelian theorems.”

Continuous extension of order-preserving homogeneous maps

Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)

Kybernetika

Similarity:

Maps f defined on the interior of the standard non-negative cone K in N which are both homogeneous of degree 1 and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have...