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Results tagged with inner-product
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user 4354
40
votes
Linearity of the inner product using the parallelogram law
To me continuity is more geometric and intuitive than the rest of the argument (which is purely algebraic manipulation). So I take the liberty to mis-read you question as follows:
Is it possible to …
- 32.4k
3
votes
Proof that domains of positivity of symmetric nondegenerate bilinear forms are self-dual cones?
I believe that the statement you want is not true. In $X=\mathbb R^3$, begin with the standard cone $x^2+y^2<z^2$ and perturb it so that the resulting cone $K$ is symmetric to its Euclidean dual throu …
- 32.4k