Geodesic
An extreme positive operator on a polyhedral cone
Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 347-348

Voir la notice de l'article provenant de la source Cambridge University Press

In [2], R. Loewy and H. Schneider studied positive linear operators on circular cones. They characterised the extremal positive operators on these cones and noticed that such operators preserve the set of extreme rays of the cone in this case. They then conjectured that this property of extremal positive operators is true in general. 
Robertson, A. Guyan. An extreme positive operator on a polyhedral cone. Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 347-348. doi: 10.1017/S0017089500007448
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[1] 1.Choi, M. D. and Lam, T. Y., Extremal positive semidefinite forms, Math. Ann. 231 (1977) 1–18. Google Scholar

[2] 2.Loewy, R. and Schneider, H., Positive operators on the n-dimensional ice-cream cone, J. Math. Anal. Appl. 49 (1975) 375–392. Google Scholar

[3] 3.O'Brien, R. C., On extreme matrices and extreme vectors of cones in ℝn, Linear Algebra Appl. 12 (1975) 77–79. Google Scholar

[4] 4.Robertson, A. G., Schwarz inequalities and the decomposition of positive maps on C*-algebras, Math. Proc. Camb. Phil. Soc. 94 (1983) 291–296. Google Scholar

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