Extreme points of convex sets of doubly stochastic matrices. II
J. G. Mauldon · Mathematical Proceedings of the Cambridge Philosophical Society · 1975
We prove a conjecture of (5), namely that the convex set of all infinite doubly stochastic matrices whose entries are all strictly less than θ(0 < θ ≤ 1) possesses extreme points if and only if θ is irrational.