Accession Number : ADA138016

Title :   The Extreme Point Characterizations of Semi-Infinite Dual Non-Archimedean Balls.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s) : Charnes,A ; Song,T

PDF Url : ADA138016

Report Date : Mar 1983

Pagination or Media Count : 22

Abstract : The extreme point characterization of the (l')-ball of a generalized finite sequence space by Kortanek and Strojwas was accomplished only for real scalars and by continuity considerations. This document shows that no topology of continuity is needed as in Kortanek-Strojwas and that the characterization extends to weighted (l')-balls with any ordered scalar field. A Chebyshev ball theorem is shown to be false since it has no extreme points. Via generalizing the LIEP, (Linear Independence with Extreme Points) theorem, useful projections of the ball are proved convex hulls of their extreme points. (Author)

Descriptors :   *Linear programming, Points(Mathematics), Theorems, Hulls(Structures), Convex bodies

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE