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Finite-Dimensional and Hilbert Spaces

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Part of the Universitext book series (UTX)

Abstract

We first examine finite-dimensional spaces, including an application of the λ-technique to the problem of finding best approximations by elements of a finite-dimensional subspace. We then introduce Hilbert spaces, which are natural generalisations of finite-dimensional Euclidean spaces.

Keywords

Hilbert Space Normed Space Separable Hilbert Space Selfadjoint Operator Riesz Representation Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2006

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