Hilbert space ↩

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created: 2021-12-03 13:52:17
modified: 2022-01-11 15:51:14

A Hilbert space is a vector space

over the field of real

or complex

numbers, equipped with an inner product

, such that

is complete with the norm given by Norm of inner product spaces. A very common requirement is be separable.

In other words: A Hilbert space is a Banach space in which the norm comes from an inner product.