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Norm-determining subspaces
This thesis will centre on the concept of norming subspaces in the dual of a Banach space. We shall consider a weakly-dense subspace V of E', and the natural norm it generates on E. If this new norm is equivalent to the original norm on E, then V is called norming or norm-determining.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613970876071936 |
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| access_status_str | Open Access |
| author | Sarembock, Sandra Jacqueline |
| author2 | Webb, John |
| author_browse | Sarembock, Sandra Jacqueline Webb, John |
| author_facet | Webb, John Sarembock, Sandra Jacqueline |
| author_sort | Sarembock, Sandra Jacqueline |
| collection | Thesis |
| description | This thesis will centre on the concept of norming subspaces in the dual of a Banach space. We shall consider a weakly-dense subspace V of E', and the natural norm it generates on E. If this new norm is equivalent to the original norm on E, then V is called norming or norm-determining. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/14379 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:44:36.986Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| 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:11427/14379 Norm-determining subspaces Sarembock, Sandra Jacqueline Webb, John Mathematics This thesis will centre on the concept of norming subspaces in the dual of a Banach space. We shall consider a weakly-dense subspace V of E', and the natural norm it generates on E. If this new norm is equivalent to the original norm on E, then V is called norming or norm-determining. 2015-10-28T05:29:50Z 2015-10-28T05:29:50Z 1970 Master Thesis Masters MA http://hdl.handle.net/11427/14379 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Sarembock, Sandra Jacqueline Norm-determining subspaces |
| thesis_degree_str | Master's |
| title | Norm-determining subspaces |
| title_full | Norm-determining subspaces |
| title_fullStr | Norm-determining subspaces |
| title_full_unstemmed | Norm-determining subspaces |
| title_short | Norm-determining subspaces |
| title_sort | norm determining subspaces |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/14379 |
| work_keys_str_mv | AT sarembocksandrajacqueline normdeterminingsubspaces |