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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Order convergence on Archimedean vector lattices and applications

Van der Walt, Jan Harm 06 February 2006 (has links)
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. / Dissertation (Magister Scientiae)--University of Pretoria, 2007. / Mathematics and Applied Mathematics / unrestricted
Vector lattice
Convergence structure
Order convergence
UCTD

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