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Uniform boundedness principle

  • Hans Wilhelm Alt
Chapter
Part of the Universitext book series (UTX)

Abstract

A fundamental result for linear continuous maps is the uniform boundedness principle. It states that the pointwise boundedness of a family of operators already implies their boundedness in the operator norm. This principle rests upon the following theorem.

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Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  • Hans Wilhelm Alt
    • 1
  1. 1.Technische Universität MünchenGarching near MunichGermany

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