RT Journal Article T1 On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces A1 Jiménez Sevilla, María Del Mar A1 Sánchez González, Luis AB 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. PB Springer SN 0025-5831 YR 2013 FD 2013 LK https://hdl.handle.net/20.500.14352/33289 UL https://hdl.handle.net/20.500.14352/33289 LA eng NO DGES (Spain) DS Docta Complutense RD 8 abr 2025