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 1

1 
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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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