Non-linear isometries in Lipschitz free spaces

Abstract

In the first chapter, we introduce preliminary notions about Lipschitz space, and the properties of Lipschitz functions. Then in the second chapter we present some fundamental results related to the Lipschitzian operators on the free lipschitz space F (M) . Finally in the last chapter we give some results about the non-linear isometries, and the isometric universal shifting property (infinite shift space).