Completion of probabilistic normed spaces

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

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Bibliographic Details
Main Authors: Bernardo Lafuerza Guillén, José Antonio Rodríguez Lallena, Carlo Sempi
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000822
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author Bernardo Lafuerza Guillén
José Antonio Rodríguez Lallena
Carlo Sempi
author_facet Bernardo Lafuerza Guillén
José Antonio Rodríguez Lallena
Carlo Sempi
author_sort Bernardo Lafuerza Guillén
collection DOAJ
description We prove that every probabilistic normed space, either according to the original definition given by erstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1995-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-db8053b5113c4dc18c525979271ee32e2025-02-03T01:09:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118464965210.1155/S0161171295000822Completion of probabilistic normed spacesBernardo Lafuerza Guillén0José Antonio Rodríguez Lallena1Carlo Sempi2Departamento de Matemática, Aplicada Universidad de Almeria, Almeria 04120, SpainDepartamento de Matemática, Aplicada Universidad de Almeria, Almeria 04120, SpainDipartimento di Matematica, Universitá di Lecce, Lecce 73100, ItalyWe prove that every probabilistic normed space, either according to the original definition given by erstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.http://dx.doi.org/10.1155/S0161171295000822probabilistic normed spacescompletiontriangle function Lévy distance.
spellingShingle Bernardo Lafuerza Guillén
José Antonio Rodríguez Lallena
Carlo Sempi
Completion of probabilistic normed spaces
International Journal of Mathematics and Mathematical Sciences
probabilistic normed spaces
completion
triangle function
Lévy distance.
title Completion of probabilistic normed spaces
title_full Completion of probabilistic normed spaces
title_fullStr Completion of probabilistic normed spaces
title_full_unstemmed Completion of probabilistic normed spaces
title_short Completion of probabilistic normed spaces
title_sort completion of probabilistic normed spaces
topic probabilistic normed spaces
completion
triangle function
Lévy distance.
url http://dx.doi.org/10.1155/S0161171295000822
work_keys_str_mv AT bernardolafuerzaguillen completionofprobabilisticnormedspaces
AT joseantoniorodriguezlallena completionofprobabilisticnormedspaces
AT carlosempi completionofprobabilisticnormedspaces