Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900292 | Journal of Mathematical Analysis and Applications | 2018 | 10 Pages |
Abstract
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 Câ-smooth surjective mapping f:XâY 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]).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Petr Hájek, Michal Johanis,