Bulletin of the Australian Mathematical Society

Table of Contents - August 1998 - Volume 58, Issue 01  

Research Article

Comparable characterisations of two classes of Banach spaces by subdifferentials

J.R. Gilesa1

a1 Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia

Abstract

We characterise Banach spaces not containing ℓ1 and Banach spaces which are Asplund spaces by continuity properties of the subdifferential mappings of their equivalent norms.

(Received January 19 1998)