Return to search

Order convergence on Archimedean vector lattices and applications

We study the order convergence of sequences on a vector lattice. It is shown that this mode of convergence is induced by a convergence structure. One such a convergence structure is defined and its properties are studied. We apply the results obtained to find the completion of C(X). We also obtain a Banach-Steinhauss theorem for ó-order continuous operators. / Dissertation (Magister Scientiae)--University of Pretoria, 2007. / Mathematics and Applied Mathematics / unrestricted

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:up/oai:repository.up.ac.za:2263/26901
Date06 February 2006
CreatorsVan der Walt, Jan Harm
ContributorsAnguelov, Roumen, janharm.vanderwalt@up.ac.za
Source SetsSouth African National ETD Portal
Detected LanguageEnglish
TypeDissertation
Rights© 2005, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.

Page generated in 0.0018 seconds