The picture of a specific maximal monotone set |
| |
Authors: | M Coodey |
| |
Institution: | (1) Department of Mathematics, University of California, 93106-3080 Santa Barbara, CA, USA |
| |
Abstract: | Let E be a nontrivial Banach space. The concept of picture has been used to provide a new proof of the surjectivity of S+J, for E reflexive and S: E 2
E
* maximal monotone. It is known that if E is reflexive, then the picture of a maximal monotone subset of E×E
* is a singleton. We calculate an example showing that in the nonreflexive case, the picture of a maximal monotone subset can be quite substantial. |
| |
Keywords: | 47H05 |
本文献已被 SpringerLink 等数据库收录! |
|