| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621653 | Journal of Mathematical Analysis and Applications | 2008 | 5 Pages |
Abstract
Let (X,‖⋅‖) be a reflexive Banach space with Kadec–Klee norm. Let f:X→(−∞,+∞] be a function which is either Lipschitzian or is proper, bounded below, and lower semi-continuous. Then f is supported from below by residually many parabolas opening downward, that is, the infimal convolution of ‖⋅‖2 and f is attained at residually many points of X.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
