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Normed linear spaces

  • Arlen Brown
  • Carl Pearcy
Part of the Graduate Texts in Mathematics book series (GTM, volume 55)

Abstract

We here commence our study of the fundamentals of the branch of mathematics known as functional analysis. In the course of this study and, indeed, throughout the balance of this book, we shall constantly be dealing with various linear spaces that are at the same time equipped with a topology. Frequently the topology will be induced by a metric. In this connection the following concept is useful.

Keywords

Banach Space Linear Space Normed Space Topological Vector Space Normed Linear Space 
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-Verlag, New York Inc. 1977

Authors and Affiliations

  • Arlen Brown
    • 1
  • Carl Pearcy
    • 2
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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