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arXiv · 1012.5512

Radon-Nikodým compact spaces of low weight and Banach spaces

Antonio Avilés
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Abstract

We prove that a continuous image of a Radon-Nikodým compact space of weight less than b is Radon-Nikodým 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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Antonio Avilés. 2010-12-26. Radon-Nikodým compact spaces of low weight and Banach spaces. https://arxiv.org/abs/1012.5512

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