Support cones and convexity of sets in |
| |
Authors: | Robert Huotari Junning Shi |
| |
Affiliation: | Department of Mathematics, Idaho State University, Pocatello, Idaho 83209 ; Allianz Insurance Company, 3400 Riverside Dr., Suite 300, Burbank, California 91505 |
| |
Abstract: | We discuss several metric characterizations of convexity of sets in non-smooth finite-dimensional Banach spaces. We describe a setting in which convexity is equivalent to the rotation-invariance of various properties, including almost convexity, radial continuity of the metric projection, and Chebyshevity. One of the tools used is a generalization of norm-smoothness which involves support cones of the unit ball. |
| |
Keywords: | Metric projection support cone convexity |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Proceedings of the American Mathematical Society》下载全文 |