Rigged Hilbert spaces and inductive limits
  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. 
S.A. Pol'shin
math.FA math-ph math.MP quant-ph