Geodesic
On sequential convergence in weakly compact subsets of Banach spaces
Studia Mathematica, Tome 112 (1994) no. 2, pp. 189-194

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We construct an example of a Banach space E such that every weakly compact subset of E is bisequential and E contains a weakly compact subset which cannot be embedded in a Hilbert space equipped with the weak topology. This answers a question of Nyikos.
DOI : 10.4064/sm-112-2-189-194
Keywords: Banach space, weakly compact set, uniform Eberlein compact space, bisequential space 
Witold Marciszewski. On sequential convergence in weakly compact subsets of Banach spaces. Studia Mathematica, Tome 112 (1994) no. 2, pp. 189-194. doi: 10.4064/sm-112-2-189-194
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