Rigged Hilbert spaces and inductive limits

Published 15 Dec 2014 in math.FA, math-ph, math.MP, and quant-ph | (1412.5092v1)

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

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S. A. Pol'shin

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