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Real analytic approximations which almost preserve Lipschitz constants of functions defined on the Hilbert space
Real analytic approximations Lipschitz constants of functions defined Hilbert space
2011/2/24
Let X be a separable real Hilbert space. We show that for every Lipschitz function f : X ! R, and for every " > 0, there exists a Lipschitz, real analytic function g : X ! R such that |f(x) − g(...