ACIT4330-Page/content/Definitions/Hilbert Spaces.md
2025-03-01 14:26:36 +01:00

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# Definition
These are [[Banach Space|Banach Spaces]] with norms given by an [[Inner Product]].
> [!note] The norm is defined as:
> $$\| \, v \, \|_{2} \equiv \sqrt{ (v | v) }$$
> $$d(u, v) = \| \, u - v \, \|_{2}$$