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- ItemUniform boundedness of norms of convex and nonconvex processes(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Henrion, René; Seeger, AlbertoThe lower limit of a sequence of closed convex processes is again a closed convex process. In this note we prove the following uniform boundedness principle: if the lower limit is nonempty-valued everywhere, then, starting from a certain index, the given sequence is uniformly norm-bounded. As shown with an example, the uniform boundedness principle is not true if one drops convexity. By way of illustration, we consider an application to the controllability analysis of differential inclusions.