Isomorphisms of spaces of affine continuous complex functions

• Jakub Rondoš ^[1] ; Jiří Spurný ^[1]
  1. [1] Charles University in Prague

     Charles University in Prague

     Chequia

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 2, 2019, págs. 270-290
• Idioma: inglés
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• Resumen

  • 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.