Title page for ETD etd-02062006-130754


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 -order continuous operators.
Files
  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  00dissertation.pdf 915.26 Kb 00:04:14 00:02:10 00:01:54 00:00:57 00:00:04

Browse All Available ETDs by ( Author | Department )

If you have more questions or technical problems, please Contact UPeTD.