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Hilbert-generated spaces |
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| Authors: | M Fabian G Godefroy P Hjek V Zizler |
| Institution: | a Mathematical Institute, Czech Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic;b Equipe d’ analyse, Université Paris VI, Case 186, 4, Place Jussieu, 75252 Paris Cedex 05, France;c Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 |
| Abstract: | We classify several classes of the subspaces of Banach spaces X for which there is a bounded linear operator from a Hilbert space onto a dense subset in X. Dually, we provide optimal affine homeomorphisms from weak star dual unit balls onto weakly compact sets in Hilbert spaces or in c0(Γ) spaces in their weak topology. The existence of such embeddings is characterized by the existence of certain uniformly Gâteaux smooth norms. |
| Keywords: | Uniformly Gâ teaux smooth norms Hilbert generating Uniformly Eberlein compact sets |
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