Banach Spaces

  • John B. Conway
Part of the Graduate Texts in Mathematics book series (GTM, volume 96)

Abstract

The concept of a Banach space is a generalization of Hilbert space. A Banach space assumes that there is a norm on the space relative to which the space is complete, but it is not assumed that the norm is defined in terms of an inner product. There are many examples of Banach spaces that are not Hilbert spaces, so that the generalization is quite useful.

Keywords

Banach Space Normed Space Compact Space Order Unit Linear Manifold 
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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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • John B. Conway
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

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