Hilbert Spaces

  • Israel Gohberg
  • Seymour Goldberg


In this chapter we review the main properties of the complex n-dimensional space ℂn and then we study the Hubert space which is its most natural infinite dimensional generalization. Many applications to classical problems are included (Least squares, Fourier series and others).


Hilbert Space Orthonormal Basis Product Space Cauchy Sequence Orthogonal Complement 
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Copyright information

© Birkhäuser Boston 2001

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Seymour Goldberg
    • 2
  1. 1.Department of MathematicsTel-Aviv UniversityRamat-AvivIsrael
  2. 2.Mathematics DepartmentUniversity of MarylandCollege ParkUSA

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