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Topological Vector Spaces

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL,volume 159)

Abstract

§ 14 contains the elementary theory of normed spaces and Banach spaces. A number of classical examples are discussed, to which we shall refer time and again in the later parts of the book.

Keywords

  • Normed Space
  • Linear Subspace
  • Convex Cone
  • Cauchy Sequence
  • Topological Vector Space

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  • DOI: 10.1007/978-3-642-64988-2_3
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© 1983 Springer-Verlag Berlin, Heidelberg

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Köthe, G. (1983). Topological Vector Spaces. In: Topological Vector Spaces I. Grundlehren der mathematischen Wissenschaften, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-64988-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-64988-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64990-5

  • Online ISBN: 978-3-642-64988-2

  • eBook Packages: Springer Book Archive