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Multivalued semi-Fredholm operators in normed linear spaces
Bibliography: leaves 176-182.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867614489244860416 |
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| access_status_str | Open Access |
| author | Wilcox, Diane |
| author2 | Cross, Ron W |
| author_browse | Cross, Ron W Wilcox, Diane |
| author_facet | Cross, Ron W Wilcox, Diane |
| author_sort | Wilcox, Diane |
| collection | Thesis |
| description | Bibliography: leaves 176-182. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4945 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:52:51.341Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/4945 Multivalued semi-Fredholm operators in normed linear spaces Wilcox, Diane Cross, Ron W Mathematics Bibliography: leaves 176-182. 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. 2014-07-31T08:11:12Z 2014-07-31T08:11:12Z 2002 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/4945 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Wilcox, Diane Multivalued semi-Fredholm operators in normed linear spaces |
| thesis_degree_str | Doctoral |
| title | Multivalued semi-Fredholm operators in normed linear spaces |
| title_full | Multivalued semi-Fredholm operators in normed linear spaces |
| title_fullStr | Multivalued semi-Fredholm operators in normed linear spaces |
| title_full_unstemmed | Multivalued semi-Fredholm operators in normed linear spaces |
| title_short | Multivalued semi-Fredholm operators in normed linear spaces |
| title_sort | multivalued semi fredholm operators in normed linear spaces |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/4945 |
| work_keys_str_mv | AT wilcoxdiane multivaluedsemifredholmoperatorsinnormedlinearspaces |