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Inner Product Space


An inner product space is a vector space together with an inner product on it. If the inner product defines a complete metric, then the inner product space is called a Hilbert space.

Historically, inner product spaces are sometimes referred to as pre-Hilbert spaces.


See also

Complete Metric, Complete Metric Space, Hilbert Space, Inner Product, Norm

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Cite this as:

Weisstein, Eric W. "Inner Product Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InnerProductSpace.html

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