Positive operators and their applications on ordered vector spaces

dc.contributor.advisorMabula, Mokhwetha D.
dc.contributor.emailu17318450@tuks.co.zaen_US
dc.contributor.postgraduateMsibi, Mxolisi
dc.date.accessioned2024-02-16T07:28:02Z
dc.date.available2024-02-16T07:28:02Z
dc.date.created2024-09
dc.date.issued2023
dc.descriptionDissertation (MSc (Mathematics))--University of Pretoria, 2023.en_US
dc.description.abstractA 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.en_US
dc.description.availabilityUnrestricteden_US
dc.description.degreeMSc (Mathematics)en_US
dc.description.departmentMathematics and Applied Mathematicsen_US
dc.description.facultyFaculty of Natural and Agricultural Sciencesen_US
dc.description.sdgSDG-04: Quality Educationen_US
dc.description.sponsorshipPersonal fundeden_US
dc.identifier.citation*en_US
dc.identifier.doi10.25403/UPresearchdata.25216112en_US
dc.identifier.otherS2024en_US
dc.identifier.urihttp://hdl.handle.net/2263/94663
dc.language.isoenen_US
dc.publisherUniversity of Pretoria
dc.rights© 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.
dc.subjectUCTDen_US
dc.subjectOrdered vector spaceen_US
dc.subjectRiesz spaces
dc.subjectOSC Property
dc.subjectRademacher systems
dc.subjectLeontief models
dc.subjectOrder boundedness
dc.subjectFixed-point theory
dc.subject.otherSDG-04: Quality Education
dc.subject.otherNatural and agricultural sciences theses SDG-04
dc.titlePositive operators and their applications on ordered vector spacesen_US
dc.typeDissertationen_US

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