TY - JOUR AU - Rondoš, Jakub AU - Spurný, Jiří PY - 2019/10/19 Y2 - 2024/03/29 TI - Isomorphisms of spaces of affine continuous complex functions JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 125 IS - 2 SE - Articles DO - 10.7146/math.scand.a-114989 UR - https://www.mscand.dk/article/view/114989 SP - 270-290 AB - <p>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.</p> ER -