Multivalued semi-Fredholm operators in normed linear spaces

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dc.contributor.advisorCross, Ron Wen_ZA
dc.contributor.authorWilcox, Dianeen_ZA
dc.date.accessioned2014-07-31T08:11:12Z
dc.date.available2014-07-31T08:11:12Z
dc.date.issued2002en_ZA
dc.descriptionBibliography: leaves 176-182.
dc.description.abstractCertain properties associated with these classes are stable under small perturbation, i.e. stable under additive perturbation by continuous operators whose norms are less than the minimum modulus of the relation being perturbed, and are also stable under perturbation by compact, strictly singular or strictly cosingular operators. In this work we continue the study of these classes and introduce the classes of α-Atkinson and β-Atkinson relations. These are subclasses of upper and lower semi-Fredholm relations respectively, having generalised inverses and defined in terms of the existence of continuous projections onto their ranges and nullspaces.en_ZA
dc.identifier.apacitationWilcox, D. (2002). <i>Multivalued semi-Fredholm operators in normed linear spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4945en_ZA
dc.identifier.chicagocitationWilcox, Diane. <i>"Multivalued semi-Fredholm operators in normed linear spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2002. http://hdl.handle.net/11427/4945en_ZA
dc.identifier.citationWilcox, D. 2002. Multivalued semi-Fredholm operators in normed linear spaces. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Wilcox, Diane AB - Certain properties associated with these classes are stable under small perturbation, i.e. stable under additive perturbation by continuous operators whose norms are less than the minimum modulus of the relation being perturbed, and are also stable under perturbation by compact, strictly singular or strictly cosingular operators. In this work we continue the study of these classes and introduce the classes of α-Atkinson and β-Atkinson relations. These are subclasses of upper and lower semi-Fredholm relations respectively, having generalised inverses and defined in terms of the existence of continuous projections onto their ranges and nullspaces. DA - 2002 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2002 T1 - Multivalued semi-Fredholm operators in normed linear spaces TI - Multivalued semi-Fredholm operators in normed linear spaces UR - http://hdl.handle.net/11427/4945 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4945
dc.identifier.vancouvercitationWilcox D. Multivalued semi-Fredholm operators in normed linear spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2002 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4945en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematicsen_ZA
dc.titleMultivalued semi-Fredholm operators in normed linear spacesen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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