Biblioteca de la Universidad Complutense de Madrid

Approximation of functions and their derivatives by analytic maps on certain Banach spaces

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Azagra Rueda, Daniel y Fry, Robb y 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. 953-964. ISSN 0024-6093

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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Differentiable functions; Polynomials; Extensions
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:13950
Depositado:23 Nov 2011 12:28
Última Modificación:06 Feb 2014 09:56

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