fixed typo in orthogonal projection lemma
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@ -101,7 +101,7 @@ and then do the harder proof.
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i.e.~$H$ is a vector space with an inner product $\langle \cdot, \cdot \rangle_H$ which defines a norm by $\|x\|_H^2 = \langle x, x\rangle_H$
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making $H$ a complete metric space.
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For any $x \in H$ and $K \subseteq H$ closed and convex,
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For any $x \in H$ and closed, convex subspace $K \subseteq H$,
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there exists a unique $z \in K$ such that the following equivalent conditions hold:
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\begin{enumerate}[(a)]
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\item $\forall y \in K : \langle x-z, y\rangle_H = 0$,
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