Hilbert Space

From Conservapedia
This is an old revision of this page, as edited by Noodles (Talk | contribs) at 01:34, 24 March 2007. It may differ significantly from current revision.

Jump to: navigation, search

Hilbert space is a inner product space that is also a complete metric space. A Hilbert space is always a Banach space, but the converse need not hold. Hilbert space is named after mathematician David Hilbert, whom used it to provide a natural context in which to generalize the concept of Fourier series and Fourier transformation in terms of arbitrary orthogonal functions defined on infinite dimensional inner product space.