Bauer's maximum principle and hulls of sets |
| |
| Authors: | Martin Kružík |
| |
| Affiliation: | (1) Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou vveží4, 182 08 Praha 8, Czech Republic (e-mail: kruzik@utia.cas.cz), CZ;(2) Center of Advanced European Studies and Research, Friedensplatz 16, 53111 Bonn, Germany (e-mail: kruzik@caesar.de), DE |
| |
| Abstract: | ![]()
We use the Bauer maximum principle for quasiconvex, polyconvex and rank-one convex functions to derive Krein-Milman-type theorems for compact sets in . Further we show that in general the set of quasiconvex extreme points is not invariant under transposition and it is different from the set of rank-one convex extreme points. Finally, a set in with different polyconvex, quasiconvex and rank-one convex hulls is constructed. Received September 14, 1999 / Accepted January 14, 2000 /Published online July 20, 2000 |
| |
| Keywords: | Mathematics Subject Classification (1991): 49R99 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
