3. Hilbert spaces
3.1 Projection on a complete convex
First, consider a pre-Hilbert space H, with a scalar product noted (· │ ·). We consider a subset C of H, which is convex, non-empty and complete. For x in H, we denote d C (x), or simply d(x), the distance from x to C. It is defined by the equality :
A consequence of this definition...
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Hilbert spaces
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