Linear Algebra pp 160-185 | Cite as

Inner product spaces

  • Werner H. Greub
Conference paper
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 97)

Abstract

An inner product in a real linear space E is a bilinear function (x,y) having the following properties:
  1. 1.

    Symmetry: (x,y) = (y, x).

     
  2. 2.

    Positive defmiteness : (x, x) ≧ 0 and (x, x) = 0 only for the vector x = 0.

     

Keywords

Eosine 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1963

Authors and Affiliations

  • Werner H. Greub
    • 1
  1. 1.Mathematics DepartmentUniversity of TorontoCanada

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