Category:Hilbert Spaces

From ProofWiki
Jump to navigation Jump to search

This category contains results about Hilbert Spaces.
Definitions specific to this category can be found in Definitions/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 the following 7 subcategories, out of 7 total.

Pages in category "Hilbert Spaces"

The following 46 pages are in this category, out of 46 total.