Bulletin of the Australian Mathematical Society

Table of Contents - 1979 - Volume 20, Issue 02  

Research Article

Weak star separability

E.N. Dancera1 and Brailey Simsa1

a1 Department of Mathematics, University of New England, Armidale, New South Wales.

Abstract

For a Banach space X, Susumu Okada raised the question of whether the unit hall of the dual space X* is weak* separable if X* is weak* separable. The problem occurred in the theory of manifolds modelled on locally convex spaces. We answer the question in the negative but show that it is true for particular types of spaces.

(Received March 13 1979)

--