Extreme Contractions in Hilbert Space.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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.
- Theoretical Mathematics