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Characterization of reflexive Banach spaces
Dissertation (MSc (Mathematics))--University of Pretoria 2020.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2021
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| _version_ | 1867613627993817088 |
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| access_status_str | Open Access |
| author2 | Mabula, Mokhwetha D. |
| author_browse | Mabula, Mokhwetha D. |
| author_facet | Mabula, Mokhwetha D. |
| collection | Thesis |
| dc_rights_str_mv | © 2019 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 (MSc (Mathematics))--University of Pretoria 2020. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/78565 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:09.918Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| 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:2263/78565 Characterization of reflexive Banach spaces Mabula, Mokhwetha D. u19377712@tuks.co.za Mbambo, S.P. UCTD Mathematics Functional Analysis Dissertation (MSc (Mathematics))--University of Pretoria 2020. A cone K in a vector space X is a subset which is closed under addition, positive scalar multiplication and the only element with additive inverse is zero. The pair (X, K) is called an ordered vector space. In this study, we consider the characterizations of reflexive Banach spaces. This is done by considering cones with bounded and unbounded bases and the second characterization is by reflexive cones. The relationship between cones with bounded and unbounded bases and reflexive cones is also considered. We provide an example to show distinction between such cones. UCDP - 523 Mathematics and Applied Mathematics MSc (Mathematics) Unrestricted 2021-02-15T08:47:25Z 2021-02-15T08:47:25Z 2021-04-30 2020-12 Dissertation * A2021 http://hdl.handle.net/2263/78565 en © 2019 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 | UCTD Mathematics Functional Analysis Characterization of reflexive Banach spaces |
| title | Characterization of reflexive Banach spaces |
| title_full | Characterization of reflexive Banach spaces |
| title_fullStr | Characterization of reflexive Banach spaces |
| title_full_unstemmed | Characterization of reflexive Banach spaces |
| title_short | Characterization of reflexive Banach spaces |
| title_sort | characterization of reflexive banach spaces |
| topic | UCTD Mathematics Functional Analysis |
| url | http://hdl.handle.net/2263/78565 |