Radon-Nikodým compact spaces of low weight and Banach spaces

Details Radon-Nikodým compact spaces of low weight and Banach spaces Radon-Nikodým compact spaces of low weight and Banach spaces

2010-12-26

arxiv.org/abs/1012.5512v1

Studia Math. 166 (2005), no. 1, 71-82

Mathematics

Functional Analysis

Scientific paper

We prove that a continuous image of a Radon-Nikod\'ym compact space of weight less than b is Radon-Nikod\'ym compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated which has density character exactly b.

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