Linear mappings of inner product spaces
Part of the Graduate Texts in Mathematics book series (GTM, volume 23)
Consider two inner product spaces E and F and assume that a linear mapping (φ:E→ F is given. If E* and F* are two linear spaces dual to E and F respectively, the mapping cp induces a dual mapping φ*:F*→E*. The mappings φ and φ* are related by
$$ < y*,\varphi x > = < \varphi *y*,x > x \in E,y* \in F*$$
KeywordsRotation Angle Orthonormal Basis Linear Transformation Product Space Orthogonal Complement
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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© Springer-Verlag New York Inc. 1975