There Can be no Lipschitz Version of Michael'S Selection Theorem

摘要: Publisher Summary Given a real Banach space E, let H (E) denote the family of closed, bounded, convex nonempty subsets E. Michael's theorem is general; it states that ψ admits continuous selection, assuming only lower semicontinuous, and allowing values to be all nonempty, This chapter briefly reviews there no Lipschitz version selection theorem.