COMPLETION OF PROBABILISTIC NORMED SPACES

COMPLETION OF PROBABILISTIC NORMED SPACES

We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1995, Vol.1995 (4), p.649-652
Hauptverfasser: Guillén, Bernardo Lafuerza, Lallena, José Antonio Rodríguez, Sempi, Carlo
Format: Artikel
Sprache:eng
Schlagworte:
completion
Lévy distance
probabilistic normed spaces
triangle function
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Beschreibung
Zusammenfassung:We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171295000822