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

View publication

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.

Conference paper

Wavefront and caustic surfaces of refractive laser beam shaper

David L. Shealy, John A. Hoffnagle

SPIE Optical Engineering + Applications 2007

Paper

Quantum Simulators: Architectures and Opportunities

Ehud Altman, Kenneth R. Brown, et al.

PRX Quantum

Paper

The classification of one-sided Markov chains

Jonathan Ashley, Brian Marcus, et al.

Ergodic Theory and Dynamical Systems

Paper

Joint spectral radius and path-complete graph Lyapunov functions

Amir Ali Ahmadi, Raphaël M. Jungers, et al.

SICON

View all publications

Abstract

Related

Wavefront and caustic surfaces of refractive laser beam shaper

Quantum Simulators: Architectures and Opportunities

The classification of one-sided Markov chains

Joint spectral radius and path-complete graph Lyapunov functions