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arXiv · 0903.0157

Automatic norm continuity of weak* homeomorphisms

Antonio Avilés
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Abstract

We prove that in a certain class E of nonseparable Banach spaces the norm topology of the dual ball is definable in terms of its weak* topology. Thus, any weak* homeomorphism between duals balls of spaces in E is automatically norm-continuous.

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Antonio Avilés. 2009-03-01. Automatic norm continuity of weak* homeomorphisms. https://arxiv.org/abs/0903.0157

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