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arXiv · 1412.5092

Rigged Hilbert spaces and inductive limits

S. A. Pol'shin
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Abstract

We construct a nuclear space $Φ$ as an inductive limit of finite-dimensional subspaces of a Hilbert space $H$ in such a way that $(Φ,H,Φ')$ becomes a rigged Hilbert space, thus simplifying the construction by Bellomonte and Trapani.

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S. A. Pol'shin. 2014-12-15. Rigged Hilbert spaces and inductive limits. https://arxiv.org/abs/1412.5092

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