| Document Type |
Master's Dissertation |
| Author |
Van der Walt, Jan Harm
|
| Email |
janharm.vanderwalt@up.ac.za |
| URN |
etd-02062006-130754 |
| Document Title |
Order convergence on Archimedean vector lattices and applications |
| Degree |
Magister Scientiae |
| Department |
Mathematics and Applied Mathematics |
| Supervisor |
| Advisor Name |
Title |
| Dr R Anguelov |
|
|
| Keywords |
- Vector Lattice
- convergence structure
- order convergence
|
| Date |
2005-02-07 |
| Availability |
unrestricted |
Abstract
We study the order convergence of sequences on a vector lattice. It is shown that this mode of convergence is induced by a convergence structure. One such a convergence structure is defined and its properties are studied. We apply the results obtained to find the completion of C(X). We also obtain a Banach-Steinhauss theorem for ó-order continuous operators.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
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ISDN (128 Kb) |
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915.26 Kb |
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