On the fixed point property in Banach spaces isomorphic to $c_0$
| Autor: | Barroso, Cleon S. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $\co$. Comment: Unfortunately there is a gap in the proof of Theorem 3.2. The diagonal argument fails to prove inequality (iii), as it only works though spreading models |
| Databáze: | arXiv |
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