Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces
We introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show that Pythagorean orthogonality is circle-unique if and only if the underlying space is strictly convex. Further related results providing more detailed relations between circle-uniqueness of Pythagorean...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/634842 |
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| _version_ | 1850234341537349632 |
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| author | Senlin Wu Xinjian Dong Dan Wang |
| author_facet | Senlin Wu Xinjian Dong Dan Wang |
| author_sort | Senlin Wu |
| collection | DOAJ |
| description | We introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show that Pythagorean orthogonality is circle-unique if and only if the underlying space is strictly convex. Further related results providing more detailed relations between circle-uniqueness of Pythagorean orthogonality and the shape of the unit sphere are also presented. |
| format | Article |
| id | doaj-art-0db8ed2d00be459596b66ea89ab63a4e |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0db8ed2d00be459596b66ea89ab63a4e2025-08-20T02:02:39ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/634842634842Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear SpacesSenlin Wu0Xinjian Dong1Dan Wang2Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaWe introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show that Pythagorean orthogonality is circle-unique if and only if the underlying space is strictly convex. Further related results providing more detailed relations between circle-uniqueness of Pythagorean orthogonality and the shape of the unit sphere are also presented.http://dx.doi.org/10.1155/2014/634842 |
| spellingShingle | Senlin Wu Xinjian Dong Dan Wang Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces Journal of Function Spaces |
| title | Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces |
| title_full | Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces |
| title_fullStr | Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces |
| title_full_unstemmed | Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces |
| title_short | Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces |
| title_sort | circle uniqueness of pythagorean orthogonality in normed linear spaces |
| url | http://dx.doi.org/10.1155/2014/634842 |
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