Extensions of continuous affine functions

Leonard Asimow

Vol. 35 (1970), No. 1, 11–21

DOI: 10.2140/pjm.1970.35.11

Abstract

Conditions are given for a closed face F of a compact convex set X to have the property that if f ∈ A(F),g₁,…, g_m ∈ A(X), and f dominates each g_i on F then f can be extended to g ∈ A(X) where g dominates each g_i on X.

Mathematical Subject Classification 2000

Primary: 46E15

Secondary: 46A99

Milestones

Published: 1 October 1970