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
Advisor Name Title
Dr R Anguelov
  • Vector Lattice
  • convergence structure
  • order convergence
Date 2005-02-07
Availability unrestricted
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.
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