Abstract
An inner product in a real vector space E is abilinear function (,) having the following properties:
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1.
Symmetry: (x, y) = (y, x).
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2.
Positive definiteness: (x, x)≧0, and (x, x) = 0 only for the vector x = 0.
In this chapter all vector spaces are assumed to be real vector spaces
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© 1975 Springer-Verlag New York Inc.
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Greub, W. (1975). Inner product spaces. In: Linear Algebra. Graduate Texts in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9446-4_8
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DOI: https://doi.org/10.1007/978-1-4684-9446-4_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-9448-8
Online ISBN: 978-1-4684-9446-4
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