A Remark on the Homogeneity of Isosceles Orthogonality
Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the notion of almost homogeneous direction of isosceles orthogonality and show that, surprisingly, these two notions coincide. Several known characterizations of inner products are improved.
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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/10.1155/2014/876015 |
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| _version_ | 1832556213114503168 |
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| author | Chan He Dan Wang |
| author_facet | Chan He Dan Wang |
| author_sort | Chan He |
| collection | DOAJ |
| description | Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the notion of almost homogeneous direction of isosceles orthogonality and show that, surprisingly, these two notions coincide. Several known characterizations of inner products are improved. |
| format | Article |
| id | doaj-art-b3e2f9c9ebe342c6b2c5f9f0a5d8cac7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b3e2f9c9ebe342c6b2c5f9f0a5d8cac72025-02-03T05:45:58ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/876015876015A Remark on the Homogeneity of Isosceles OrthogonalityChan He0Dan Wang1Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaInspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the notion of almost homogeneous direction of isosceles orthogonality and show that, surprisingly, these two notions coincide. Several known characterizations of inner products are improved.http://dx.doi.org/10.1155/2014/876015 |
| spellingShingle | Chan He Dan Wang A Remark on the Homogeneity of Isosceles Orthogonality Journal of Function Spaces |
| title | A Remark on the Homogeneity of Isosceles Orthogonality |
| title_full | A Remark on the Homogeneity of Isosceles Orthogonality |
| title_fullStr | A Remark on the Homogeneity of Isosceles Orthogonality |
| title_full_unstemmed | A Remark on the Homogeneity of Isosceles Orthogonality |
| title_short | A Remark on the Homogeneity of Isosceles Orthogonality |
| title_sort | remark on the homogeneity of isosceles orthogonality |
| url | http://dx.doi.org/10.1155/2014/876015 |
| work_keys_str_mv | AT chanhe aremarkonthehomogeneityofisoscelesorthogonality AT danwang aremarkonthehomogeneityofisoscelesorthogonality AT chanhe remarkonthehomogeneityofisoscelesorthogonality AT danwang remarkonthehomogeneityofisoscelesorthogonality |