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Nonstandard Analysis-Recent Developments pp 204–213Cite as

Infinitesimal analysis of l ∞ in its mackey topology

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Part of the book series: Lecture Notes in Mathematics ((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.

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Authors and Affiliations

  1. Mathematical Sciences Division, The University of Iowa, 52242, Iowa City, Iowa

    K. D. Stroyan

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  1. K. D. Stroyan
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Albert Emerson Hurd

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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

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