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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000822 |
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| _version_ | 1832565205040627712 |
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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 |
| id | doaj-art-db8053b5113c4dc18c525979271ee32e |
| 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 |