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Introduction. The Krein-Milman theorem as an integral representation theorem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1757)

Abstract

The simplest example of a theorem of the type with which we will be concerned is the following classical result of Minkowski (see the exercise on page 7).

Keywords

  • Probability Measure
  • Extreme Point
  • Convex Space
  • Borel Subset
  • Compact Convex Subset

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Introduction. The Krein-Milman theorem as an integral representation theorem. In: Phelps, R.R. (eds) Lectures on Choquet’s Theorem. Lecture Notes in Mathematics, vol 1757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48719-0_1

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  • DOI: https://doi.org/10.1007/3-540-48719-0_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41834-4

  • Online ISBN: 978-3-540-48719-7

  • eBook Packages: Springer Book Archive