Isomorphisms of $\mathcal{C}(K,E)$ spaces and height of $K$

Jakub Rondoš, Jacopo Somaglia

Let $K_1$, $K_2$ be compact Hausdorff spaces and $E_1,E_2$ be Banach spaces not containing a copy of $c_0$. We establish lower estimates of the Banach-Mazur distance between the s…