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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 |
