RT Journal Article
T1 Approximation of functions and their derivatives by analytic maps on certain Banach spaces
A1 Azagra Rueda, Daniel
A1 Fry, Robb
A1 Keener, L.
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 analytic function g : X -> R with vertical bar g - f vertical bar < epsilon and parallel to g' - f'parallel to < epsilon.
PB Cambridge Univ. Press
SN 0024-6093
YR 2011
FD 2011-10
LK https://hdl.handle.net/20.500.14352/42009
UL https://hdl.handle.net/20.500.14352/42009
LA eng
NO NSERC (Canada)
DS Docta Complutense
RD 6 may 2024