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On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces

By María del Mar Jiménez Sevilla and Luis Sánchez González

Abstract

Let and be Banach spaces, a closed subset of and a mapping . We give necessary and sufficient conditions to obtain a smooth mapping such that , when either (i) and are Hilbert spaces and is separable, or (ii) is separable and is an absolute Lipschitz retract, or (iii) and with , or (iv) and with , where is any separable Banach space with a -finite measure space

Topics: Matemáticas
Publisher: Springer
Year: 2020
DOI identifier: 10.1007/s00208-012-0814-0
OAI identifier: oai:www.ucm.es:21227
Provided by: EPrints Complutense
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