Extreme Contractions in Hilbert Space.

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.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA011019

Entities

People

  • Eduardo H. Zarentonello

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Functional Analysis
  • Hilbert Space
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space