Elements of Functional Analysis

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


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.



Hilbert Space Banach Algebra Compact Hausdorff Space Topological Linear Space Diagonal Operator 
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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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