A remark on smooth images of Banach spaces

作者：Hajek Petr; Johanis Michal^*

来源：Journal of Mathematical Analysis and Applications, 2018, 458(2): 1307-1313.

DOI：10.1016/j.jmaa.2017.10.012

• Smooth surjections

Let X be a non-separable super-reflexive Banach space. Then for any separable Banach space Y of dimension at least two there exists a C-infinity-smooth surjective mapping f : X -> Y such that the restriction of f onto any separable subspace of X fails to be surjective. This solves a problem posed by Aron, Jaramillo, and Ransford (Problem 186 in the book [5]).

• 出版日期2018-2-15