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#riesz_representation_theorem

Riesz representation theorem

Theorem about the dual of a Hilbert space

The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes an important connection between a Hilbert space and its continuous dual space. If the underlying field is the real numbers, the two are isometrically isomorphic; if the underlying field is the complex numbers, the two are isometrically anti-isomorphic. The (anti-) isomorphism is a particular natural isomorphism.

Sat 13th

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Riesz representation theorem Riesz–Markov–Kakutani representation theorem Frigyes Riesz Representation theorem Riesz theorem Positive harmonic function Subharmonic function Hilbert space Reproducing kernel Hilbert space Weak convergence (Hilbert space)
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