Damian Sobota: On continuous operators from Banach spaces of Lipschitz functions onto \(c_0\)
16/05/23 14:00
Tuesday, May 16, 2023 17:00
Location: room A.4.1 C-19
Speaker: Damian Sobota (Kurt Gödel Research Center for Mathematical Logic)
Title: On continuous operators from Banach spaces of Lipschitz functions onto \(c_0\)
Abstract: During my talk I will discuss some of our recent results concerning the existence of continuous operators from the Banach spaces \(\textrm{Lip}_0(M)\) 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 \(\textrm{Lip}_0(C(K))\) or \(\textrm{Lip}_0(\textrm{Lip}_0(M))\). (Based on an ongoing joint work with C. Bargetz and J. Kąkol).
Location: room A.4.1 C-19
Speaker: Damian Sobota (Kurt Gödel Research Center for Mathematical Logic)
Title: On continuous operators from Banach spaces of Lipschitz functions onto \(c_0\)
Abstract: During my talk I will discuss some of our recent results concerning the existence of continuous operators from the Banach spaces \(\textrm{Lip}_0(M)\) 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 \(\textrm{Lip}_0(C(K))\) or \(\textrm{Lip}_0(\textrm{Lip}_0(M))\). (Based on an ongoing joint work with C. Bargetz and J. Kąkol).