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Génératrices Extrémales d'un Cône de Fonctionnelles Linéaires Positives Invariantes

Published online by Cambridge University Press:  20 November 2018

Jacques Dubois
Jacques Dubois*
Affiliation:
Université de Sherbrooke, Sherbrooke, Québec
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Si S est un espace topologique compact séparé et si ϕ : S → S est une fonction continue, l'opérateur: A : C(S) → C(S), défini par Ag = g o ϕ est linéaire positif tel que Ae = e (sur C(S) nous considérons le cône usuel et e désigne la fonction identiquement 1 sur S).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 733 - 747
Copyright
Copyright © Canadian Mathematical Society 1973

References

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