On the Nuclearity of Dual Groups

Lydia Aussenhofer

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arXiv · 1209.3993

On the Nuclearity of Dual Groups

Lydia Aussenhofer

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Abstract

We prove that the dual space of a locally convex nuclear $k_ω$ vector space endowed with the compact--open topology is a locally convex nuclear vector space. An analogous result is shown for nuclear groups. As a consequence of this, we obtain that nuclear $k_ω$--groups are strongly reflexive.

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Lydia Aussenhofer. 2012-09-18. On the Nuclearity of Dual Groups. https://arxiv.org/abs/1209.3993

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