A remark on smooth images of Banach spaces

0481830 - MÚ 2019 RIV US eng J - Journal Article
Hájek, Petr Pavel - Johanis, M.
A remark on smooth images of Banach spaces.
Journal of Mathematical Analysis and Applications. Roč. 458, č. 2 (2018), s. 1307-1313. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR GA16-07378S
Institutional support: RVO:67985840
Keywords : smooth surjections
OECD category: Pure mathematics
Impact factor: 1.188, year: 2018
http://www.sciencedirect.com/science/article/pii/S0022247X17309186?via%3Dihub

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 ...-smooth surjective mapping ... 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]).
Permanent Link: http://hdl.handle.net/11104/0277295