Probabilistic foundations of quantum theories and Rubin-Stone spaces
Salvatore Guccione, Časlav V. Stanojević · Bulletin of the American Mathematical Society · 1976
A construction of Mielnik probability spaces of dimension 2 is given in terms of Rubin-Stone functionals, and conversely it is shown that if a certain subset of a real linear space is supplied with 2 dimensional Mielnik probability space structure then the space becomes a Rubin-Stone space (in final analysis, a generalized inner product space).Analogous results are given for generalized inner product spaces in the sense of Nagumo.