Abstract
The concept of weak- orthogonality for a Banach lattice is examined. A proof that in such a lattice non expansive self maps of a non empty weakly compact convex set have fixed points is outlined. A geometric generalization of weak- orthogonality is introduced and related to the Opial condition.
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
zbMATH: 0687.47041
MathSciNet: MR1009604
Rights: Copyright © 1988, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
