On strictly convex and strictly 2-convex 2-normed spaces II
In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2-normed space. This enables us to obtain more new results along each of two types of characterizations. We shall also investigate...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000565 |
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| _version_ | 1849403381386313728 |
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| author | C.-S. Lin |
| author_facet | C.-S. Lin |
| author_sort | C.-S. Lin |
| collection | DOAJ |
| description | In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2-normed space. This enables us to obtain more new results along each of two types of characterizations. We shall also investigate a strictly 2-convex 2-normed space in terms of the above two different types. |
| format | Article |
| id | doaj-art-8e7ad29ff8524a41a4a16f01dcc63f5a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8e7ad29ff8524a41a4a16f01dcc63f5a2025-08-20T03:37:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115341742310.1155/S0161171292000565On strictly convex and strictly 2-convex 2-normed spaces IIC.-S. Lin0Department of Mathematics, Bishop's University, Lennoxville, P.Q. J1M 1Z7, CanadaIn this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2-normed space. This enables us to obtain more new results along each of two types of characterizations. We shall also investigate a strictly 2-convex 2-normed space in terms of the above two different types.http://dx.doi.org/10.1155/S0161171292000565linear 2-normed spacestrict convexitystrict 2-convexity2-semi-inner productbounded linear 2-functionalduality mapping. |
| spellingShingle | C.-S. Lin On strictly convex and strictly 2-convex 2-normed spaces II International Journal of Mathematics and Mathematical Sciences linear 2-normed space strict convexity strict 2-convexity 2-semi-inner product bounded linear 2-functional duality mapping. |
| title | On strictly convex and strictly 2-convex 2-normed spaces II |
| title_full | On strictly convex and strictly 2-convex 2-normed spaces II |
| title_fullStr | On strictly convex and strictly 2-convex 2-normed spaces II |
| title_full_unstemmed | On strictly convex and strictly 2-convex 2-normed spaces II |
| title_short | On strictly convex and strictly 2-convex 2-normed spaces II |
| title_sort | on strictly convex and strictly 2 convex 2 normed spaces ii |
| topic | linear 2-normed space strict convexity strict 2-convexity 2-semi-inner product bounded linear 2-functional duality mapping. |
| url | http://dx.doi.org/10.1155/S0161171292000565 |
| work_keys_str_mv | AT cslin onstrictlyconvexandstrictly2convex2normedspacesii |