Proceedings of the Centre for Mathematics and its Applications

Exposing conditions implying uniformity of rotundity

John R. Giles and Warren B. Moors

Full-text: Open access

Abstract

If every functional which exposes a subset of the unit ball of a Banach space does so uniformly strongly (uniformly weakly) then the space is uniformly rotund (weakly uniformly rotund).

Article information

Source
National Symposium on Functional Analysis, Optimization and Applications. John Giles and Brett Ninness, eds. Proceedings of the Centre for Mathematics and its Applications, v. 36. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1999), 49-52

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416323145

Zentralblatt MATH identifier
1194.46016

Citation

Giles, John R.; Moors, Warren B. Exposing conditions implying uniformity of rotundity. National Symposium on Functional Analysis, Optimization and Applications, 49--52, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1999. https://projecteuclid.org/euclid.pcma/1416323145


Export citation