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Generalized DF spaces
Bibliography: pages 102-106.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613243604729856 |
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| access_status_str | Open Access |
| author | Robertson, Neill Raymond Charles |
| author2 | Webb, John H |
| author_browse | Robertson, Neill Raymond Charles Webb, John H |
| author_facet | Webb, John H Robertson, Neill Raymond Charles |
| author_sort | Robertson, Neill Raymond Charles |
| collection | Thesis |
| description | Bibliography: pages 102-106. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/21873 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:01.081Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:11427/21873 Generalized DF spaces Robertson, Neill Raymond Charles Webb, John H Mathematics Bibliography: pages 102-106. A DF space is a topological vector space sharing certain essential properties with the strong duals of Frechet spaces. The class of DF spaces includes not only all such duals, but also every· normed space and many other spaces besides. The definition of a DF space is due to Grothendieck, who derived almost all the important results concerning such spaces. The "generalized DF spaces" in the title of this thesis are locally convex topological vector spaces whose topologies are determined by their restrictions to an absorbent sequence of bounded sets. In the case when this sequence is a fundamental sequence of bounded sets, we obtain the gDF spaces. Many. of the properties of DF spaces are shared by all gDF spaces. 2016-09-25T16:18:50Z 2016-09-25T16:18:50Z 1984 Master Thesis Masters MSc http://hdl.handle.net/11427/21873 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Robertson, Neill Raymond Charles Generalized DF spaces |
| thesis_degree_str | Master's |
| title | Generalized DF spaces |
| title_full | Generalized DF spaces |
| title_fullStr | Generalized DF spaces |
| title_full_unstemmed | Generalized DF spaces |
| title_short | Generalized DF spaces |
| title_sort | generalized df spaces |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/21873 |
| work_keys_str_mv | AT robertsonneillraymondcharles generalizeddfspaces |