D-bounded sets in probabilistic normed spaces and in their products
A sufficient, but not necessary, condition is given for the family of D-bounded subsets in a Probabilistic Normed space(briefly PN space)to be a linear space when it is endowed with suitably defined operations of addition and multiplication by a scalar. In Section 3, tau-products of PN spaces are in...
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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Rendiconti di matematica e delle sue applicazioni
2014
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| Online Access: | http://hdl.handle.net/10835/2757 |
| _version_ | 1789406451429539840 |
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| author | Lafuerza Guillén, Bernardo |
| author_facet | Lafuerza Guillén, Bernardo |
| author_sort | Lafuerza Guillén, Bernardo |
| collection | DSpace |
| description | A sufficient, but not necessary, condition is given for the family of D-bounded subsets in a Probabilistic Normed space(briefly PN space)to be a linear space when it is endowed with suitably defined operations of addition and multiplication by a scalar. In Section 3, tau-products of PN spaces are introduced and a sufficient condition is given for D-boundedness in tau-products. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-2757 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2014 |
| publisher | Rendiconti di matematica e delle sue applicazioni |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-27572023-04-12T19:37:29Z D-bounded sets in probabilistic normed spaces and in their products Lafuerza Guillén, Bernardo Mathematics A sufficient, but not necessary, condition is given for the family of D-bounded subsets in a Probabilistic Normed space(briefly PN space)to be a linear space when it is endowed with suitably defined operations of addition and multiplication by a scalar. In Section 3, tau-products of PN spaces are introduced and a sufficient condition is given for D-boundedness in tau-products. 2014-06-17T08:35:22Z 2014-06-17T08:35:22Z 2001 info:eu-repo/semantics/article Serie VII, Volume 21, pp. 17-28, Roma, http://hdl.handle.net/10835/2757 en info:eu-repo/semantics/openAccess Rendiconti di matematica e delle sue applicazioni |
| spellingShingle | Mathematics Lafuerza Guillén, Bernardo D-bounded sets in probabilistic normed spaces and in their products |
| title | D-bounded sets in probabilistic normed spaces and in their products |
| title_full | D-bounded sets in probabilistic normed spaces and in their products |
| title_fullStr | D-bounded sets in probabilistic normed spaces and in their products |
| title_full_unstemmed | D-bounded sets in probabilistic normed spaces and in their products |
| title_short | D-bounded sets in probabilistic normed spaces and in their products |
| title_sort | d-bounded sets in probabilistic normed spaces and in their products |
| topic | Mathematics |
| url | http://hdl.handle.net/10835/2757 |
| work_keys_str_mv | AT lafuerzaguillenbernardo dboundedsetsinprobabilisticnormedspacesandintheirproducts |