Some results in generalized Serstnev spaces
We show that D-compactness in generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic generalized Serstnev is not D-compact in general. Finally, in the finite dimensional generalized Serstnev spaces a subset is D-compact if, a...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
Bulletin of the Iranian Mathematical Society
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/2747 |
| _version_ | 1789406725293473792 |
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| author | Lafuerza Guillén, Bernardo Alimohammady, M. Saadati, Reza |
| author_facet | Lafuerza Guillén, Bernardo Alimohammady, M. Saadati, Reza |
| author_sort | Lafuerza Guillén, Bernardo |
| collection | DSpace |
| description | We show that D-compactness in generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic generalized Serstnev is not D-compact in general. Finally, in the finite dimensional generalized Serstnev spaces a subset is D-compact if, and only if it is D-bounded and closed. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-2747 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2014 |
| publisher | Bulletin of the Iranian Mathematical Society |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-27472023-04-12T19:39:31Z Some results in generalized Serstnev spaces Lafuerza Guillén, Bernardo Alimohammady, M. Saadati, Reza Mathematics Espacios Normados Probabilísticos We show that D-compactness in generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic generalized Serstnev is not D-compact in general. Finally, in the finite dimensional generalized Serstnev spaces a subset is D-compact if, and only if it is D-bounded and closed. 2014-06-17T08:32:55Z 2014-06-17T08:32:55Z 2005 info:eu-repo/semantics/article Vol. 31, No. 1, pp. 37-47 http://hdl.handle.net/10835/2747 en info:eu-repo/semantics/openAccess Bulletin of the Iranian Mathematical Society |
| spellingShingle | Mathematics Espacios Normados Probabilísticos Lafuerza Guillén, Bernardo Alimohammady, M. Saadati, Reza Some results in generalized Serstnev spaces |
| title | Some results in generalized Serstnev spaces |
| title_full | Some results in generalized Serstnev spaces |
| title_fullStr | Some results in generalized Serstnev spaces |
| title_full_unstemmed | Some results in generalized Serstnev spaces |
| title_short | Some results in generalized Serstnev spaces |
| title_sort | some results in generalized serstnev spaces |
| topic | Mathematics Espacios Normados Probabilísticos |
| url | http://hdl.handle.net/10835/2747 |
| work_keys_str_mv | AT lafuerzaguillenbernardo someresultsingeneralizedserstnevspaces AT alimohammadym someresultsingeneralizedserstnevspaces AT saadatireza someresultsingeneralizedserstnevspaces |