Order convergence on Archimedean vector lattices and applications
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...
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2013
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| Online Access: | http://hdl.handle.net/2263/26901 Van der Walt, J 2005, Order convergence on Archimedean vector lattices and applications, Magister dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26901 > http://upetd.up.ac.za/thesis/available/etd-02062006-130754/ |