Spelling suggestions: "subject:"convergence structure"" "subject:"konvergence structure""
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Order convergence on Archimedean vector lattices and applicationsVan 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
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