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- W2963896228 abstract "Let X be a separable Banach space with a separating polynomial. We show that there exists C⩾1 (depending only on X) such that for every Lipschitz function f:X→R, and every ε>0, there exists a Lipschitz, real analytic function g:X→R such that |f(x)−g(x)|⩽ε and Lip(g)⩽CLip(f). This result is new even in the case when X is a Hilbert space. Furthermore, in the Hilbertian case we also show that C can be assumed to be any number greater than 1." @default.
- W2963896228 created "2019-07-30" @default.
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- W2963896228 date "2012-01-01" @default.
- W2963896228 modified "2023-10-01" @default.
- W2963896228 title "Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces" @default.
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- W2963896228 doi "https://doi.org/10.1016/j.jfa.2011.09.009" @default.
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