Accession Number:
ADA011019
Title:
Extreme Contractions in Hilbert Space.
Descriptive Note:
Technical summary rept.,
Corporate Author:
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s):
Report Date:
1975-04-01
Pagination or Media Count:
30.0
Abstract:
The determination of extreme points in the class of all contractions in Hilbert space is reduced to the search for maximal monotone mappings M for which the inner distance between two graph points vanishes identically. A variety of examples is exhibited. In particular, polyhedral convex functions appear as determining extreme contractions dense in the class of all contractive gradients.
Descriptors:
Subject Categories:
- Theoretical Mathematics