Abstract
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.
Keywords
- Compact Convex Subset
- Bounded Continuous Function
- Fine Topology
- Norm Compact
- Mackey Topology
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© 1983 Springer-Verlag
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Stroyan, K.D. (1983). Infinitesimal analysis of l ∞ in its mackey topology. In: Hurd, A.E. (eds) Nonstandard Analysis-Recent Developments. Lecture Notes in Mathematics, vol 983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065341
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DOI: https://doi.org/10.1007/BFb0065341
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12279-1
Online ISBN: 978-3-540-39602-4
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