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Azagra Rueda, Daniel and Fry, Robb and Keener , L. (2011) Approximation of functions and their derivatives by analytic maps on certain Banach spaces. Bulletin of the London Mathematical Society, 43 (5). pp. 953964. ISSN 00246093

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Official URL: http://blms.oxfordjournals.org/
Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Differentiable functions; Polynomials; Extensions 
Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  13950 
Deposited On:  23 Nov 2011 12:28 
Last Modified:  06 Feb 2014 09:56 
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