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Created page with "== Introduction == A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. Furthermore, Hilbert spaces are complete: there are enough limits in the space to allow the techniques of calculus to be used. == Definition == Formally, a Hilbert space is a real or complex inner product space that is also a complete metric space with respect to the distance function induced by the..."
