A PROOF OF THE CONVEXITY OF THE RANGE OF A NONATOMIC VECTOR MEASURE USING LINEAR INEQUALITIES

Authors
HOFFMAN A ROTHBLUM UG
Citation
A. Hoffman et Ug. Rothblum, A PROOF OF THE CONVEXITY OF THE RANGE OF A NONATOMIC VECTOR MEASURE USING LINEAR INEQUALITIES, Linear algebra and its applications, 199, 1994, pp. 373-379
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
199
Year of publication
1994
Pages
373 - 379
Database
ISI
SICI code
0024-3795(1994)199:<373:APOTCO>2.0.ZU;2-D
Abstract
This note shows how a standard result about linear inequality systems can be used to give a simple proof of the fact that the range of a non atomic vector measure is convex, a result that is due to Liapounoff.