On continuous operators from Banach spaces of Lipschitz functions onto c_0

During my talk I will discuss some of our recent results concerning the existence of continuous operators from the Banach spaces Lip_0(M) of Lipschitz real-valued functions on metric spaces M onto the Banach space c_0 of sequences converging to 0. I will in particular prove that there is always a continuous operator onto c_0 from infinite-dimensional spaces of the form Lip_0(C(K)) or Lip_0(Lip_0(M)). (Based on an ongoing joint work with C. Bargetz and J. Kakol).