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Aspects of spectral theory for 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_ | 1867613237315371008 |
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| access_status_str | Open Access |
| author | Tembo, Isaac Daniel |
| author2 | Conradie, JJ |
| author_browse | Conradie, JJ Tembo, Isaac Daniel |
| author_facet | Conradie, JJ Tembo, Isaac Daniel |
| author_sort | Tembo, Isaac Daniel |
| collection | Thesis |
| description | Includes abstract. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4934 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:57.328Z |
| 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:11427/4934 Aspects of spectral theory for algebras of measurable operators Tembo, Isaac Daniel Conradie, JJ Mathematics and Applied Mathematics Includes abstract. Includes bibliographical references (p. 124-129). The spectral theory for bounded normal operators on a Hilbert space and the various functional calculi for such operators is closely related to the representation theory of commutative C*- and von Neumann algebras as algebras of bounded continuous or measurable functions. For unbounded operators the corresponding theory leads to algebras of unbounded densely defined operators. The thesis looks at aspects of spectral theory in the non-commutative generalisations of these algebras. Given a von Neumann algebra M, there are various notions of measurability for operators affiliated with M, and the measurable operators of a particular kind form an involutive algebra under the strong sum and product. Algebras of this kind can usually be equipped with a topology modelled on the topology of convergence in measure under which they become topological algebras. The emphasis in this thesis is on a semifinite von Neumann algebra M equipped with a semi-finite faithful normal trace τ and the corresponding algebra M~ of τ-measurable operators. 2014-07-31T08:11:00Z 2014-07-31T08:11:00Z 2008 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/4934 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Tembo, Isaac Daniel Aspects of spectral theory for algebras of measurable operators |
| thesis_degree_str | Doctoral |
| title | Aspects of spectral theory for algebras of measurable operators |
| title_full | Aspects of spectral theory for algebras of measurable operators |
| title_fullStr | Aspects of spectral theory for algebras of measurable operators |
| title_full_unstemmed | Aspects of spectral theory for algebras of measurable operators |
| title_short | Aspects of spectral theory for algebras of measurable operators |
| title_sort | aspects of spectral theory for algebras of measurable operators |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4934 |
| work_keys_str_mv | AT temboisaacdaniel aspectsofspectraltheoryforalgebrasofmeasurableoperators |