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Quantum Simulation
Quantum Foundations
Rigged Hilbert spaces and inductive limits
arXiv
Authors: S. A. Pol'shin
Year
2014
Paper ID
45916
Status
Preprint
Abstract Read
~2 min
Abstract Words
37
Citations
N/A
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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- 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...
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