Universality of Asplund spaces

Hájek, Petr; Lancien, Gilles; Montesinos, Vicente

doi:10.1090/S0002-9939-07-08780-1

Universality of Asplund spaces
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by Petr Hájek, Gilles Lancien and Vicente Montesinos PDF

Proc. Amer. Math. Soc. 135 (2007), 2031-2035 Request permission

Abstract:

Given any infinite cardinal $\tau$, there exists no Banach space of density $\tau$, which is Asplund or has the Point of Continuity Property and is universal for all reflexive spaces of density $\tau$.

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