Differential operator and weak topology for Lipschitz maps

We show that the Scott topology induces a topology for real-v alued Lipschitz maps on Banach spaces which we call the L-topology. It i s the weakest topology with respect to which the L-derivative operator, a s a second order functional which maps the space of Lipschitz functions i nto the function space of non-empty weak* compact and convex valued maps… CONTINUE READING