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Ramsey’s Theorem with Some Applications to Normed Spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1200)

Abstract

We begin with the statement and proof of Ramsey’s Theorem. For a set B and a positive integer k let B[k] denote the set of all subsets of B with k elements.

Keywords

  • Banach Space
  • Normed Space
  • Finite Sequence
  • Nonzero Vector
  • Finite Dimensional Subspace

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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© 1986 Springer-Verlag Berlin Heidelberg

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(1986). Ramsey’s Theorem with Some Applications to Normed Spaces. In: Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Mathematics, vol 1200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38822-7_11

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  • DOI: https://doi.org/10.1007/978-3-540-38822-7_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16769-3

  • Online ISBN: 978-3-540-38822-7

  • eBook Packages: Springer Book Archive