Can anyone help me to access the paper:
M.S Brodskii and D.P Milman, "On the center of a convex set", Dokl. Akad. Nauk SSSR 59 (1948) 837–840 in Russian?
or to prove the theorem:
If $K$ is a weakly compact, bounded convex subset of a Banach space with normal structure, then there exists $x_0\in K$ such that $T(x_0)=x_0$ for all surjective isometry $T:K→K$. That is, there is a common fixed point for the family of surjective isometries on $K$.
Thank you.