Rigged Hilbert spaces and inductive limits

2014/12/15 by Pol'shin, S. A.
#47A70 46A13 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1412.5092

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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