Hilbert Spaces

  • Rodney Coleman
Part of the Universitext book series (UTX)


In this chapter we study Hilbert spaces, which can be considered as a certain subclass of the class of normed vector spaces. We will define some particular mappings and study their differentiability.


  1. 7.
    Chojnacki, W.: On Banach algebras which are Hilbert spaces. Ann. Soc. Math. Pol. Ser. I Comment. Mat. Prac. Mat. 20, 279–281 (1978)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Rodney Coleman
    • 1
  1. 1.Laboratoire Jean KuntzmannGrenobleFrance

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