Compactness in asymmetrically normed lattices.

Includes abstract. === Includes bibliographical references. === The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces. One of the main aims of this thesis is to investigate compactness in the setting of asy...

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Main Author: Mabula, Mokhwetha Daniel
Other Authors: Conradie, Jurie
Format: Doctoral Thesis
Language:English
Published: University of Cape Town 2015
Online Access:http://hdl.handle.net/11427/11707
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spelling ndltd-netd.ac.za-oai-union.ndltd.org-uct-oai-localhost-11427-117072020-07-22T05:07:58Z Compactness in asymmetrically normed lattices. Mabula, Mokhwetha Daniel Conradie, Jurie Includes abstract. Includes bibliographical references. The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces. One of the main aims of this thesis is to investigate compactness in the setting of asymmetrically normed lattices. In order to do this, it was necessary to study convergence of sequences and left-K-sequential completeness and precompactness of subsets of such spaces. 2015-01-07T13:38:19Z 2015-01-07T13:38:19Z 2012 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/11707 eng application/pdf University of Cape Town Faculty of Science Department of Mathematics and Applied Mathematics
collection NDLTD
language English
format Doctoral Thesis
sources NDLTD
description Includes abstract. === Includes bibliographical references. === The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces. One of the main aims of this thesis is to investigate compactness in the setting of asymmetrically normed lattices. In order to do this, it was necessary to study convergence of sequences and left-K-sequential completeness and precompactness of subsets of such spaces.
author2 Conradie, Jurie
author_facet Conradie, Jurie
Mabula, Mokhwetha Daniel
author Mabula, Mokhwetha Daniel
spellingShingle Mabula, Mokhwetha Daniel
Compactness in asymmetrically normed lattices.
author_sort Mabula, Mokhwetha Daniel
title Compactness in asymmetrically normed lattices.
title_short Compactness in asymmetrically normed lattices.
title_full Compactness in asymmetrically normed lattices.
title_fullStr Compactness in asymmetrically normed lattices.
title_full_unstemmed Compactness in asymmetrically normed lattices.
title_sort compactness in asymmetrically normed lattices.
publisher University of Cape Town
publishDate 2015
url http://hdl.handle.net/11427/11707
work_keys_str_mv AT mabulamokhwethadaniel compactnessinasymmetricallynormedlattices
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