Connection between the Riemann integrability of a multi-valued function and of its convex hull

Vladimir Kadets, Artur Kulykov, Olha Shevchenko

For a Banach space $X$ we demonstrate the equivalence of the following two properties: (1) $X$ is B-convex (that is, possesses a nontrivial infratype), and (2) if ${F: [0,1] \to 2^…