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Basic Properties of Hilbert Spaces

  • A. V. Balakrishnan

Abstract

This is an introductory chapter in which we study the basic properties of Hilbert spaces, indispensable for an understanding of the sequel. Although it is fairly complete in itself, this chapter is necessarily brief in many areas and the reader would find it helpful to have had an elementary introduction to linear spaces, and Hilbert spaces in particular, such as one finds in the standard texts on real analysis.

Keywords

Hilbert Space Linear Space Product Space Cauchy Sequence Schwarz Inequality 
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 New York Inc. 1981

Authors and Affiliations

  • A. V. Balakrishnan
    • 1
  1. 1.Systems Science DepartmentUniversity of CaliforniaLos AngelesUSA

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