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Composition operators on Banach function spaces
The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them in...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613222615384064 |
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| access_status_str | Open Access |
| author | de Jager, Pierre |
| author2 | Conradie, Jurie |
| author_browse | Conradie, Jurie de Jager, Pierre |
| author_facet | Conradie, Jurie de Jager, Pierre |
| author_sort | de Jager, Pierre |
| collection | Thesis |
| description | The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach lattices. These spaces are called Banach function spaces and examples include the Lebesgue, Lorentz, Orlicz and Orlicz-Lorentz spaces. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/6619 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:42.829Z |
| 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:11427/6619 Composition operators on Banach function spaces de Jager, Pierre Conradie, Jurie The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach lattices. These spaces are called Banach function spaces and examples include the Lebesgue, Lorentz, Orlicz and Orlicz-Lorentz spaces. 2014-08-20T19:14:35Z 2014-08-20T19:14:35Z 2013 Master Thesis Masters MSc http://hdl.handle.net/11427/6619 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | de Jager, Pierre Composition operators on Banach function spaces |
| thesis_degree_str | Master's |
| title | Composition operators on Banach function spaces |
| title_full | Composition operators on Banach function spaces |
| title_fullStr | Composition operators on Banach function spaces |
| title_full_unstemmed | Composition operators on Banach function spaces |
| title_short | Composition operators on Banach function spaces |
| title_sort | composition operators on banach function spaces |
| url | http://hdl.handle.net/11427/6619 |
| work_keys_str_mv | AT dejagerpierre compositionoperatorsonbanachfunctionspaces |