INTEGRAL REPRESENTATIONS ON COMPACT CONVEX SETS (CHOQUET THEORY),

Abstract

These notes attempt to give an introduction to the theory of integral representations on compact convex sets developed first by G. Choquet and later by numerous other authors. They do not aim at completeness, but only at the presentation of the central results. The notes do attempt to give the proofs in sufficient detail to make them accessible to the non-specialist. It is assumed the reader has an elementary knowledge of point set topology, integration theory on locally compact spaces, and the theory of locally convex topological vector spaces.

Document Details

Document Type
Technical Report
Publication Date
Aug 30, 1966
Accession Number
AD0655379

Entities

People

  • Oscar E. Lanford

Organizations

  • State University of New York

Tags

DTIC Thesaurus Topics

  • Algebra
  • Convex Sets
  • Cooperation
  • Integrals
  • Mathematics
  • New York
  • Specialists
  • Topology
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design

Technology Areas

  • Space