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arXiv · 0910.2252

A counterexample for a suptheorem in locally convex spaces

Stefano Rossi
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Abstract

In this brief note, we provide an example of non complete locally convex space $E$ with a $σ(E, E^*)$ closed bounded subset $C\subset E$, which is not $σ(E, E^*)$-compact, even if every $φ\in E^*$ attains its sup over $C$.

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Stefano Rossi. 2009-10-24. A counterexample for a suptheorem in locally convex spaces. https://arxiv.org/abs/0910.2252

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