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.
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© 2006 Springer Science+Business Media, LLC
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(2006). Finite-Dimensional and Hilbert Spaces. In: Techniques of Constructive Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-38147-3_4
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DOI: https://doi.org/10.1007/978-0-387-38147-3_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33646-6
Online ISBN: 978-0-387-38147-3
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