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Infinitesimal analysis of l in its mackey topology

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Part of the Lecture Notes in Mathematics book series (LNM,volume 983)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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

  • eBook Packages: Springer Book Archive