Title: Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping

Speaker: David Bartl (Silesian University in Opava)

Date and Time: March 17th, 2021, 17:00 AEDT (Register here for remote connection via Zoom)

Abstract: Given a non-empty compact convex subset P of m×n matrices, we show constructively that there exists a Lipschitzian mapping g : Rⁿ → R^m such that its Clarke Jacobian ∂g(0) = P.