Basic Properties of Hilbert Spaces

  • A. V. Balakrishnan
Part of the Lecture Notes in Operations Research and Mathematical Systems book series (LNE, volume 42)


In this chapter we present a condensed version of those properties of Hilbert Spaces which are basic to optimization theory in our view. A more leisurely presentation of most of the material may be found in many books including those listed in the bibliography. Some of it is scattered. The illustrative examples that we provide are drawn either from information theory or control theory.


Hilbert Space Linear Space Interior Point Differential Game Normed Linear Space 
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 Berlin · Heidelberg 1971

Authors and Affiliations

  • A. V. Balakrishnan
    • 1
  1. 1.University of CaliforniaLos AngelesUSA

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