Order convergence on Archimedean vector lattices and applications

dc.contributor.advisorAnguelov, Roumenen
dc.contributor.emailjanharm.vanderwalt@up.ac.zaen
dc.contributor.postgraduateVan der Walt, Jan Harm
dc.date.accessioned2013-09-07T09:03:11Z
dc.date.available2006-05-15en
dc.date.available2013-09-07T09:03:11Z
dc.date.created2005-02-07en
dc.date.issued2007-05-15en
dc.date.submitted2006-02-06en
dc.descriptionDissertation (Magister Scientiae)--University of Pretoria, 2007.en
dc.description.abstractWe 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.en
dc.description.availabilityunrestricteden
dc.description.departmentMathematics and Applied Mathematicsen
dc.identifier.citationVan der Walt, J 2005, Order convergence on Archimedean vector lattices and applications, Magister dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26901 >en
dc.identifier.upetdurlhttp://upetd.up.ac.za/thesis/available/etd-02062006-130754/en
dc.identifier.urihttp://hdl.handle.net/2263/26901
dc.language.isoen
dc.publisherUniversity of Pretoriaen_ZA
dc.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.en
dc.subjectVector latticeen
dc.subjectConvergence structureen
dc.subjectOrder convergenceen
dc.subjectUCTDen_US
dc.titleOrder convergence on Archimedean vector lattices and applicationsen
dc.typeDissertationen

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