The super convex hull of a set $A \subseteq \Bbb R^n$, is the set of all $\sum_{i=1}^{\infty}\lambda_i x_i$ such that $\lambda_i \geq 0$ and $\sum_{i=1}^{\infty}\lambda_i =1$, which is denoted by cco(A). It is easily verified that $co(A) \subseteq cco(A) \subseteq {\bf cl}\big(co(A)\big)$. Is the equality hold? ((i.e. $co(A) = cco(A)$?))
Note that for $n=1$ the assertion holds, and wherever $A$ is a subset of an infinite intentional Banach space, then the equality dose not necessarily satisfy.
{the notion of super convex hull is defined in the complete and excellent book "Banach space theory", by Marian Fabian, Peter Habala, and et al}