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Positive operators and their applications on ordered vector spaces
Dissertation (MSc (Mathematics))--University of Pretoria, 2023.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2024
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| _version_ | 1867613551483420672 |
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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, 2023. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/94663 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:56.779Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| 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:2263/94663 Positive operators and their applications on ordered vector spaces Mabula, Mokhwetha D. u17318450@tuks.co.za Msibi, Mxolisi UCTD Ordered vector space Riesz spaces OSC Property Rademacher systems Leontief models Order boundedness Fixed-point theory SDG-04: Quality education Natural and agricultural sciences theses SDG-04 Dissertation (MSc (Mathematics))--University of Pretoria, 2023. A vector space X is called an ordered vector space if for any elements x, y, z ∈ X and α ∈ R+, x ⪯ y implies x + z ≤ y + z and 0 ≤ x implies 0 ≤ αx. If in addition, X is a lattice, that is if for a pair {x, y} the inf{x, y} and sup{x, y} exists, then X is a Riesz space (or a vector lattice). In this study, we discuss Banach lattices, ordered Banach spaces, operators on these spaces and their applications in economics, fixed-point theory, differential and integral equations. Personal funded Mathematics and Applied Mathematics MSc (Mathematics) Unrestricted Faculty of Natural and Agricultural Sciences SDG-04: Quality education 2024-02-16T07:28:02Z 2024-02-16T07:28:02Z 2024-09 2023 Dissertation * S2024 http://hdl.handle.net/2263/94663 10.25403/UPresearchdata.25216112 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 Ordered vector space Riesz spaces OSC Property Rademacher systems Leontief models Order boundedness Fixed-point theory SDG-04: Quality education Natural and agricultural sciences theses SDG-04 Positive operators and their applications on ordered vector spaces |
| title | Positive operators and their applications on ordered vector spaces |
| title_full | Positive operators and their applications on ordered vector spaces |
| title_fullStr | Positive operators and their applications on ordered vector spaces |
| title_full_unstemmed | Positive operators and their applications on ordered vector spaces |
| title_short | Positive operators and their applications on ordered vector spaces |
| title_sort | positive operators and their applications on ordered vector spaces |
| topic | UCTD Ordered vector space Riesz spaces OSC Property Rademacher systems Leontief models Order boundedness Fixed-point theory SDG-04: Quality education Natural and agricultural sciences theses SDG-04 |
| url | http://hdl.handle.net/2263/94663 |