Abstract
All the properties of an inner product space discussed in Chapter X are based upon the bilinearity, the symmetry and the definiteness of the inner product. The question arises which of these properties do not depend on the definiteness and hence can be carried over to a linear space with an indefinite inner product. Linear spaces of this type will be discussed in §4. First of all, the general properties of a symmetric bilinear function will be investigated.
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© 1963 Springer-Verlag Berlin Heidelberg
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Greub, W.H. (1963). Symmetric bilinear functions. In: Linear Algebra. Die Grundlehren der Mathematischen Wissenschaften, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-01545-2_12
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DOI: https://doi.org/10.1007/978-3-662-01545-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-01547-6
Online ISBN: 978-3-662-01545-2
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