On the almost everywhere convergence of observables in some algebraic structures. (English) Zbl 0860.60095

Riečan, B.

Atti Semin. Mat. Fis. Univ. Modena 44, No. 1, 95-104 (1996).

Summary: Sequences of observables are considered on abstract structures including compatible sequences on MV algebras as well as independent sequences on \(D\)-posets. In both cases a sequence of random variables is constructed where a.e. convergence is related to the a.e. convergence of the original sequence of observables.

MSC:

60K40	Other physical applications of random processes
81S99	General quantum mechanics and problems of quantization

Keywords:

almost everywhere convergence; sequences of observables; abstract structures