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Resumen de Isomorphisms of spaces of affine continuous complex functions

Jakub Rondoš, Jirí Spurný

  • Let X and Y be compact convex sets such that their each extreme point is a weak peak point. We show that extX is homeomorphic to extY provided there exists a small-bound isomorphism of the space A(X,C) of continuous affine complex functions on X onto A(Y,C). Further, we generalize a result of Cengiz to the context of compact convex sets.


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