International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 649-652
doi:10.1155/S0161171295000822
Completion of probabilistic normed spaces
Bernardo Lafuerza Guillén1
, José Antonio Rodríguez Lallena1
and Carlo Sempi3
1Departamento de Matemática, Aplicada Universidad de Almeria, Almeria 04120, Spain
3Dipartimento di Matematica, Universitá di Lecce, Lecce 73100, Italy
Abstract
We prove that every probabilistic normed space, either according to the original definition given by Šerstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.