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An Introduction to Nonstandard Functional Analysis

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Nonstandard Analysis

Part of the book series: NATO ASI Series ((ASIC,volume 493))

Abstract

In the following let V(X) be the full superstructure over an appropriate infinite set X containing ℂ and containing also the normed linear spaces we want to consider. Since sometimes we also have to look at Banach spaces which are not a priori in our superstructure we first of all prove the following helpful lemma. For an explicit application see 2.6.

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Wolff, M.P.H. (1997). An Introduction to Nonstandard Functional Analysis. In: Arkeryd, L.O., Cutland, N.J., Henson, C.W. (eds) Nonstandard Analysis. NATO ASI Series, vol 493. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5544-1_5

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  • DOI: https://doi.org/10.1007/978-94-011-5544-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6335-7

  • Online ISBN: 978-94-011-5544-1

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