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Hilbert Space : Absolute Continuity

Let H be the collection of all absolutely continuous functions f [0,1] -> F, where F denotes either real or complex field ) such that f (0) = 0 and . If for f andg in H, then H is a Hilbert space.

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Hilbert space and absolute continuity are investigated. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.