Category:Definitions/Hilbert Spaces

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This category contains definitions related to Hilbert Spaces.
Related results can be found in Category:Hilbert Spaces.


Let $V$ be an inner product space over $\Bbb F \in \left\{{\R, \C}\right\}$.

Let $d: V \times V \to \R_{\ge 0}$ be the metric induced by the inner product norm $\left\Vert{\cdot}\right\Vert_V$.


If $\left({V, d}\right)$ is a complete metric space, $V$ is said to be a Hilbert space.

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Pages in category "Definitions/Hilbert Spaces"

The following 36 pages are in this category, out of 36 total.