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Jordan homomorphisms and derivations on algebras of measurable operators
Includes abstract.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613329850105858 |
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| access_status_str | Open Access |
| author | Weigt, Martin |
| author2 | Conradie, JJ |
| author_browse | Conradie, JJ Weigt, Martin |
| author_facet | Conradie, JJ Weigt, Martin |
| author_sort | Weigt, Martin |
| collection | Thesis |
| description | Includes abstract. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4944 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:25.395Z |
| 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:11427/4944 Jordan homomorphisms and derivations on algebras of measurable operators Weigt, Martin Conradie, JJ Mathematics and Applied Mathematics Includes abstract. Includes bibliographical references (p.122-132) and index. A few decades ago, Kaplansky raised the question whether unital linear invertibility preserving maps between unital algebras are Jordan homomorphisms. This question is still unanswered, and the progress that has been made has mainly been in the context of Banach algebras, including C*-algebras and von Neumann algebras. Let M be a von Neumann algebra with a faithful semifinite normal trace τ , and M~ the algebra of τ-measurable operators (measurable for short) affiliated with M. The algebra M~ can be endowed with a topology Уcm, called the topology of convergence in measure, such that M~ becomes a complete metrizable topological *-algebra in which M is dense. One of the aims of this thesis is to find answers to Kaplansky’s question in the context of algebras of measurable operators. 2014-07-31T08:11:11Z 2014-07-31T08:11:11Z 2008 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/4944 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Weigt, Martin Jordan homomorphisms and derivations on algebras of measurable operators |
| thesis_degree_str | Doctoral |
| title | Jordan homomorphisms and derivations on algebras of measurable operators |
| title_full | Jordan homomorphisms and derivations on algebras of measurable operators |
| title_fullStr | Jordan homomorphisms and derivations on algebras of measurable operators |
| title_full_unstemmed | Jordan homomorphisms and derivations on algebras of measurable operators |
| title_short | Jordan homomorphisms and derivations on algebras of measurable operators |
| title_sort | jordan homomorphisms and derivations on algebras of measurable operators |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4944 |
| work_keys_str_mv | AT weigtmartin jordanhomomorphismsandderivationsonalgebrasofmeasurableoperators |