Geometry of the proper asymmetric norm

Abstract

There is given the geometric characterization of an asymmetric norm $q$ on the real vector space $X$, for which exists an $u\in X$ such that $q(x-q(x)u)=0$, for each $x\in X$. The result is used in the theory of mutually polar retractions on cones.

7 pages

References in corpus (2)

• Subadditive retractions on cones and asymmetric vector norms
• Mutually polar retractions on convex cones