Completion of probabilistic normed spaces
We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to recent one introduced by Alsina, Schweizer and Sklar, has a completion.
Main Authors: | , , |
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Format: | info:eu-repo/semantics/article |
Language: | English |
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International Journal of mathematics and mathematical sciences
2014
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Online Access: | http://hdl.handle.net/10835/2739 |
_version_ | 1789406386250055680 |
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author | Lafuerza Guillén, Bernardo Rodríguez-Lallena, José Antonio Sempi, Carlo |
author_facet | Lafuerza Guillén, Bernardo Rodríguez-Lallena, José Antonio Sempi, Carlo |
author_sort | Lafuerza Guillén, Bernardo |
collection | DSpace |
description | We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to recent one introduced by Alsina, Schweizer and Sklar, has a completion. |
format | info:eu-repo/semantics/article |
id | oai:repositorio.ual.es:10835-2739 |
institution | Universidad de Cuenca |
language | English |
publishDate | 2014 |
publisher | International Journal of mathematics and mathematical sciences |
record_format | dspace |
spelling | oai:repositorio.ual.es:10835-27392023-04-12T19:37:04Z Completion of probabilistic normed spaces Lafuerza Guillén, Bernardo Rodríguez-Lallena, José Antonio Sempi, Carlo Mathemátics Probabilistic Normed Spaces We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to recent one introduced by Alsina, Schweizer and Sklar, has a completion. 2014-06-10T09:35:37Z 2014-06-10T09:35:37Z 1995 info:eu-repo/semantics/article Volume 18, No. 4; pp 649-652 http://hdl.handle.net/10835/2739 en info:eu-repo/semantics/openAccess International Journal of mathematics and mathematical sciences |
spellingShingle | Mathemátics Probabilistic Normed Spaces Lafuerza Guillén, Bernardo Rodríguez-Lallena, José Antonio Sempi, Carlo Completion of probabilistic normed spaces |
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 | Mathemátics Probabilistic Normed Spaces |
url | http://hdl.handle.net/10835/2739 |
work_keys_str_mv | AT lafuerzaguillenbernardo completionofprobabilisticnormedspaces AT rodriguezlallenajoseantonio completionofprobabilisticnormedspaces AT sempicarlo completionofprobabilisticnormedspaces |