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...
Main Author: | |
---|---|
Other Authors: | |
Format: | Doctoral Thesis |
Language: | English |
Published: |
University of Cape Town
2015
|
Online Access: | http://hdl.handle.net/11427/11707 |
id |
ndltd-netd.ac.za-oai-union.ndltd.org-uct-oai-localhost-11427-11707 |
---|---|
record_format |
oai_dc |
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 |
_version_ |
1719330876867739648 |