Some properties of continuous linear operator in topological vector PN spaces
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina , Schweizer and Sklar gave a general definition of a probabilistic normed space based on the definition of Menger. In th...
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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Int. J. Nonlinear Anal. Appl.
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/2753 |
| _version_ | 1789406725505286144 |
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| author | Gaemi, M.B. Lafuerza Guillén, Bernardo Saiedinezhad, S. |
| author_facet | Gaemi, M.B. Lafuerza Guillén, Bernardo Saiedinezhad, S. |
| author_sort | Gaemi, M.B. |
| collection | DSpace |
| description | The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina , Schweizer and Sklar gave a general definition of a probabilistic normed space based on the definition of Menger. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-2753 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2014 |
| publisher | Int. J. Nonlinear Anal. Appl. |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-27532023-04-12T19:39:32Z Some properties of continuous linear operator in topological vector PN spaces Gaemi, M.B. Lafuerza Guillén, Bernardo Saiedinezhad, S. Mathematics Probabilistic Normed Spaces The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina , Schweizer and Sklar gave a general definition of a probabilistic normed space based on the definition of Menger. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved. 2014-06-17T08:34:30Z 2014-06-17T08:34:30Z 2010 info:eu-repo/semantics/article Volume 1; pp. 58-64 2008-6822(electronic) http://hdl.handle.net/10835/2753 en http://www.ijnaa.com info:eu-repo/semantics/openAccess Int. J. Nonlinear Anal. Appl. |
| spellingShingle | Mathematics Probabilistic Normed Spaces Gaemi, M.B. Lafuerza Guillén, Bernardo Saiedinezhad, S. Some properties of continuous linear operator in topological vector PN spaces |
| title | Some properties of continuous linear operator in topological vector PN spaces |
| title_full | Some properties of continuous linear operator in topological vector PN spaces |
| title_fullStr | Some properties of continuous linear operator in topological vector PN spaces |
| title_full_unstemmed | Some properties of continuous linear operator in topological vector PN spaces |
| title_short | Some properties of continuous linear operator in topological vector PN spaces |
| title_sort | some properties of continuous linear operator in topological vector pn spaces |
| topic | Mathematics Probabilistic Normed Spaces |
| url | http://hdl.handle.net/10835/2753 |
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