Finite-Dimensional and Hilbert Spaces
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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.
KeywordsHilbert Space Normed Space Separable Hilbert Space Selfadjoint Operator Riesz Representation Theorem
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