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Ascent, descent, nullity and defect of linear operators

This thesis is intended to be a survey of nullity and defect of linear operators on the one hand, and ascent and descent on the other, and the relationships between these concepts. These quantities are of considerable use in the discussion of linear operators, e.g. compact operators.

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Bibliographic Details
Main Author: Nichol, John Robert
Other Authors: Webb, John H
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2016
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access_status_str Open Access
author Nichol, John Robert
author2 Webb, John H
author_browse Nichol, John Robert
Webb, John H
author_facet Webb, John H
Nichol, John Robert
author_sort Nichol, John Robert
collection Thesis
description This thesis is intended to be a survey of nullity and defect of linear operators on the one hand, and ascent and descent on the other, and the relationships between these concepts. These quantities are of considerable use in the discussion of linear operators, e.g. compact operators.
format Thesis
id oai:open.uct.ac.za:11427/16623
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:31:31.816Z
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:11427/16623 Ascent, descent, nullity and defect of linear operators Nichol, John Robert Webb, John H Smart, D R Mathematics and Applied Mathematics This thesis is intended to be a survey of nullity and defect of linear operators on the one hand, and ascent and descent on the other, and the relationships between these concepts. These quantities are of considerable use in the discussion of linear operators, e.g. compact operators. 2016-02-01T09:59:08Z 2016-02-01T09:59:08Z 1974 Master Thesis Masters MSc http://hdl.handle.net/11427/16623 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town
spellingShingle Mathematics and Applied Mathematics
Nichol, John Robert
Ascent, descent, nullity and defect of linear operators
thesis_degree_str Master's
title Ascent, descent, nullity and defect of linear operators
title_full Ascent, descent, nullity and defect of linear operators
title_fullStr Ascent, descent, nullity and defect of linear operators
title_full_unstemmed Ascent, descent, nullity and defect of linear operators
title_short Ascent, descent, nullity and defect of linear operators
title_sort ascent descent nullity and defect of linear operators
topic Mathematics and Applied Mathematics
url http://hdl.handle.net/11427/16623
work_keys_str_mv AT nicholjohnrobert ascentdescentnullityanddefectoflinearoperators