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Elements of Functional Analysis

  • Aleksandr A. Kirillov
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 220)

Abstract

Let L be a linear space over a topological field K. Suppose that:
  1. 1.

    L is a topological group under addition;

     
  2. 2.

    the mapping \( K \times L \to L:\left( {\lambda ,x} \right) \to \lambda x \) is continuous in both variables.

     

Keywords

Hilbert Space Banach Algebra Compact Hausdorff Space Topological Linear Space Diagonal Operator 
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 Berlin Heidelberg 1976

Authors and Affiliations

  • Aleksandr A. Kirillov
    • 1
  1. 1.Moscow State UniversityUSA

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