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Extreme points of convex sets of doubly stochastic matrices. II

Published online by Cambridge University Press:  24 October 2008

J. G. Mauldon
J. G. Mauldon
Affiliation:
Amherst College, Mass. 01002, U.S.A.
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 2 , September 1975 , pp. 327 - 331
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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