TY - JOUR
AU - Jakub Rondoš
AU - Jiří Spurný
PY - 2019/10/19
Y2 - 2019/11/19
TI - Isomorphisms of spaces of affine continuous complex functions
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 125
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-114989
UR - https://www.mscand.dk/article/view/114989
AB - Let $X$ and $Y$ be compact convex sets such that their each extreme point is a weak peak point. We show that $\operatorname{ext} X$ is homeomorphic to $\operatorname{ext} Y$ provided there exists a small-bound isomorphism of the space $\mathfrak{A}(X,\mathbb{C} )$ of continuous affine complex functions on $X$ onto $\mathfrak{A}(Y,\mathbb{C} )$. Further, we generalize a result of Cengiz to the context of compact convex sets.
ER -