Bornological Locally Convex Cones
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept of bornological spaces. We introduce and inve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2014-10-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1096 |
| _version_ | 1818204518852067328 |
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| author | Davood Ayaseh Asghar Ranjbari |
| author_facet | Davood Ayaseh Asghar Ranjbari |
| author_sort | Davood Ayaseh |
| collection | DOAJ |
| description | In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept of bornological spaces. We introduce and investigate the convex quasiuniform structures U_{tau}, U_{sigma}(P,P*) and \U_{beta}(P,P*) on locally convex cone (P,U). |
| first_indexed | 2024-12-12T03:42:31Z |
| format | Article |
| id | doaj.art-10a396d4b60b46cbb2baa4c54974e9c6 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-12T03:42:31Z |
| publishDate | 2014-10-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-10a396d4b60b46cbb2baa4c54974e9c62022-12-22T00:39:38ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982014-10-01692267284921Bornological Locally Convex ConesDavood Ayaseh0Asghar Ranjbari1University of TabrizUniversity of TabrizIn this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept of bornological spaces. We introduce and investigate the convex quasiuniform structures U_{tau}, U_{sigma}(P,P*) and \U_{beta}(P,P*) on locally convex cone (P,U).http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1096Locally convex conesBornological Cones |
| spellingShingle | Davood Ayaseh Asghar Ranjbari Bornological Locally Convex Cones Le Matematiche Locally convex cones Bornological Cones |
| title | Bornological Locally Convex Cones |
| title_full | Bornological Locally Convex Cones |
| title_fullStr | Bornological Locally Convex Cones |
| title_full_unstemmed | Bornological Locally Convex Cones |
| title_short | Bornological Locally Convex Cones |
| title_sort | bornological locally convex cones |
| topic | Locally convex cones Bornological Cones |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1096 |
| work_keys_str_mv | AT davoodayaseh bornologicallocallyconvexcones AT asgharranjbari bornologicallocallyconvexcones |