Abstract of a paper by Cleon S. Barroso
This is an announcement for the paper “On the fixed point property in Banach spaces isomorphic to $c_0$” by Cleon S. Barroso<https://arxiv.org/search/math?searchtype=author&query=Barroso%2C+C+S>. 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 $\co$. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1807.11614
participants (1)
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Bentuo Zheng (bzheng)