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  3. let v be a hilbert space. let f(x) = ?x? for x ? v

Let V be a Hilbert space. Let f(x) = ?x? for x ? V. Using...

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Advance Math

Let V be a Hilbert space. Let f(x) = ?x? for x ? V. Using thedefinition of Frechet differentiation, show that ?f(x) = x for allx ?= 0. Furthermore, show that f(x) is not Frechet differentiableat x = 0.

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