TY - JOUR AU - Aron, Richard M. AU - Jaramillo Aguado, Jesús Ángel AU - Le Donne, E. PY - 2017 DO - 10.5186/aasfm.2017.4237 SN - 1239-629X UR - https://hdl.handle.net/20.500.14352/18187 T2 - Annales Academiæ Scientiarum Fennicae AB - Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subspace G of E, with the same density character as F, such that the restriction of f to G remains surjective. We obtain a positive answer whenever f is... LA - eng M2 - 525 PB - Suomalainen tiedeakatemia KW - Smooth surjective mapping KW - Nonlinear quotient KW - Surjective restriction KW - Uniformly open map KW - Density character TI - Smooth surjections and surjective restrictions TY - journal article VL - 42 ER -