Order convergence on Archimedean vector lattices and applications

Van der Walt, Jan Harm

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dc.contributor.advisor	Anguelov, Roumen	en
dc.contributor.postgraduate	Van der Walt, Jan Harm
dc.date.accessioned	2013-09-07T09:03:11Z
dc.date.available	2006-05-15	en
dc.date.available	2013-09-07T09:03:11Z
dc.date.created	2005-02-07	en
dc.date.issued	2007-05-15	en
dc.date.submitted	2006-02-06	en
dc.description	Dissertation (Magister Scientiae)--University of Pretoria, 2007.	en
dc.description.abstract	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.	en
dc.description.availability	unrestricted	en
dc.description.department	Mathematics and Applied Mathematics	en
dc.identifier.citation	Van 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.upetdurl	http://upetd.up.ac.za/thesis/available/etd-02062006-130754/	en
dc.identifier.uri	http://hdl.handle.net/2263/26901
dc.language.iso		en
dc.publisher	University of Pretoria	en_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.subject	Vector lattice	en
dc.subject	Convergence structure	en
dc.subject	Order convergence	en
dc.subject	UCTD	en_US
dc.title	Order convergence on Archimedean vector lattices and applications	en
dc.type	Dissertation	en