On the extremal structure of least upper bound norms and their dual

Abstract

Given finite dimensional real or complex Banach spaces, E and F, with norms and , we denote by N[mu][nu] the least upper bound norm induced on . Some results are given on the extremal structures of , the unit ball of N[mu][nu], of its polar , and of , which is the polar of the unit ball of the least upper bound norm N[mu]°[nu]°.