Infinitesimal analysis of l∞ in its mackey topology
This expository article explains why the Mackey topology should play an important role in the analysis of the space of bounded sequences, l∞. We defend this on pure and applied grounds. We also describe some new results from Robinson's Theory of Infinitesimals that aid in this analysis.
KeywordsCompact Convex Subset Bounded Continuous Function Fine Topology Norm Compact Mackey Topology
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