Jiménez Sevilla, María del MarSánchez González, Luis2023-06-192023-06-192013-040025-583110.1007/s00208-012-0814-0https://hdl.handle.net/20.500.14352/33289Let 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.engOn smooth extensions of vector-valued functions defined on closed subsets of Banach spacesjournal articlehttp://link.springer.com/content/pdf/10.1007%2Fs00208-012-0814-0.pdfhttp://www.springer.com/restricted access517Lipschitz functionsapproximationssubspacesMatemáticas (Matemáticas)12 Matemáticas