| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6418241 | Journal of Mathematical Analysis and Applications | 2014 | 8 Pages |
Abstract
Given f:X→R∪{+∞}f:X→R∪{+∞} a convex and lower semi-continuous function defined on a reflexive Banach space X, and L, a closed linear manifold of X over which f takes at least a real value, the aim of this note is to prove the following Baire category result: in the Euclidean setting, the set of affine functions dominated by f on L for which there is no dominated extension to X is always of first Baire category, but this set can be as large as a residual set, provided that X is a reflexive Banach space of infinite dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
