On sequential convergence in weakly compact subsets of Banach spaces
Volume 112 / 1995
Studia Mathematica 112 (1995), 189-194
DOI: 10.4064/sm-112-2-189-194
Abstract
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.
