Projectors on Convex Sets in Reflexive Banach Spaces.

Abstract

The projector on a convex set K in a reflexive Banach space X is the mapping P(K) assigning to each point x* in the dual space X* the set of points minimizing 1/2 absolute value (x* squared) + 1/2 absolute value (x squared) - <x *, x> over K. Projectors are discussed and shown to enjoy most of the properties of nearest point mappings in Hilbert space. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046501

Entities

People

  • Eduardo H. Zarantonello

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Convex Sets
  • Equations
  • Functional Analysis
  • Hilbert Space
  • Inequalities
  • Integrals
  • Mathematics
  • Military Research
  • New York
  • North Carolina
  • Notation
  • Real Variables
  • Theorems
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space