pith. sign in

arxiv: 1807.11614 · v2 · pith:GQXC2NKOnew · submitted 2018-07-31 · 🧮 math.FA

On the fixed point property in Banach spaces isomorphic to c₀

classification 🧮 math.FA
keywords fixedpointbanachisomorphicpropertytechniquestheoremamalgamation
0
0 comments X
read the original abstract

We prove that every Banach space containing a subspace isomorphic to $\co$ fails the fixed point property. The proof is based on an amalgamation approach involving a suitable combination of known results and techniques, including James's distortion theorem, Ramsey's combinatorial theorem, Brunel-Sucheston spreading model techniques and Dowling, Lennard and Turett's fixed point methodology employed in their characterization of weak compactness in $\co$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.