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 $\Bbb F \in \set {\R, \C}$.

Let $d: V \times V \to \R_{\ge 0}$ be the metric induced by the inner product norm $\norm {\,\cdot\,}_V$.

If $\struct {V, d}$ is a complete metric space, $V$ is said to be a Hilbert space.


This category has only the following subcategory.

Pages in category "Definitions/Hilbert Spaces"

The following 41 pages are in this category, out of 41 total.