A proof of the convexity of the range of a nonatomic vector measure using linear inequalities

Alan Hoffman; Uriel G. Rothblum

doi:10.1016/0024-3795(94)90360-3

Linear Algebra and Its Applications

Paper

01 Mar 1994

A proof of the convexity of the range of a nonatomic vector measure using linear inequalities

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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 nonatomic vector measure is convex, a result that is due to Liapounoff. © 1994.

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