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Locally Convex Spaces

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

Abstract

A topological vector space is a generalization of the concept of a Banach space. The locally convex spaces are encountered repeatedly when discussing weak topologies on a Banach space, sets of operators on Hilbert space, or the theory of distributions. This book will only skim the surface of this theory, but it will treat locally convex spaces in sufficient detail as to enable the reader to understand the use of these spaces in the three areas of analysis just mentioned. For more details on this theory, see Bourbaki [1967], Robertson and Robertson [1966], or Schaefer [1971].

Keywords

Topological Vector Space Convex Space Inductive Limit Continuous Linear Inductive System 
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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