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Azagra Rueda, Daniel and Fry, Robb and Montesinos Matilla, Luis Alejandro
(2004)
*Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces.*
Proceedings of the American Mathematical Society, 133
(3).
pp. 727-734.
ISSN 1088-6826

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Official URL: http://www.ams.org/proc/

## Abstract

We show that if Y is a separable subspace of a Banach space X such that both X and the quotient X/Y have C-p-smooth Lipschitz bump functions, and U is a bounded open subset of X, then, for every uniformly continuous function f : Y boolean AND U --> R and every epsilon > 0, there exists a C-p-smooth Lipschitz function F : X --> R such that |F(y)- f( y)| less than or equal to epsilon for every y is an element of Y boolean AND U.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 13962 |

Deposited On: | 25 Nov 2011 12:26 |

Last Modified: | 06 Feb 2014 09:56 |

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