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Order convergence on Archimedean vector lattices and applications
Dissertation (Magister Scientiae)--University of Pretoria, 2007.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613722535526400 |
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| access_status_str | Open Access |
| author2 | Anguelov, Roumen |
| author_browse | Anguelov, Roumen |
| author_facet | Anguelov, Roumen |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (Magister Scientiae)--University of Pretoria, 2007. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/26901 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:40:40.078Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/26901 Order convergence on Archimedean vector lattices and applications Anguelov, Roumen janharm.vanderwalt@up.ac.za Van der Walt, Jan Harm Vector lattice Convergence structure Order convergence UCTD Dissertation (Magister Scientiae)--University of Pretoria, 2007. 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. Mathematics and Applied Mathematics unrestricted 2013-09-07T09:03:11Z 2006-05-15 2013-09-07T09:03:11Z 2005-02-07 2007-05-15 2006-02-06 Dissertation 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 > http://hdl.handle.net/2263/26901 http://upetd.up.ac.za/thesis/available/etd-02062006-130754/ © 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. application/pdf University of Pretoria |
| spellingShingle | Vector lattice Convergence structure Order convergence UCTD Order convergence on Archimedean vector lattices and applications |
| title | Order convergence on Archimedean vector lattices and applications |
| title_full | Order convergence on Archimedean vector lattices and applications |
| title_fullStr | Order convergence on Archimedean vector lattices and applications |
| title_full_unstemmed | Order convergence on Archimedean vector lattices and applications |
| title_short | Order convergence on Archimedean vector lattices and applications |
| title_sort | order convergence on archimedean vector lattices and applications |
| topic | Vector lattice Convergence structure Order convergence UCTD |
| url | http://hdl.handle.net/2263/26901 http://upetd.up.ac.za/thesis/available/etd-02062006-130754/ |