TY - JOUR AU - Azagra Rueda, Daniel AU - Fry, Robb AU - Keener , L. PY - 2011 DO - 10.1112/blms/bdr032 SN - 0024-6093 UR - https://hdl.handle.net/20.500.14352/42009 T2 - Bulletin of the London Mathematical Society AB - Let X be a separable Banach space that admits a separating polynomial; in particular, let X be a separable Hilbert space. Let f : X -> R be bounded and Lipschitz, with uniformly continuous derivative. Then, for each epsilon > 0, there exists an... LA - eng M2 - 953 PB - Cambridge Univ. Press KW - Differentiable functions KW - Polynomials KW - Extensions TI - Approximation of functions and their derivatives by analytic maps on certain Banach spaces TY - journal article VL - 43 ER -