On approximate Birkhoff-James orthogonality and normal cones in a normed space
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2017
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| _version_ | 1866916338220400640 |
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| author | Sain, Debmalya Paul, Kallol mal, Arpita |
| author_facet | Sain, Debmalya Paul, Kallol mal, Arpita |
| contents | We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric point of view, and characterize them in terms of normal cones. We further explore the interconnection between normal cones and approximate Birkhoff-James orthogonality to obtain a complete characterization of normal cones in a two-dimensional smooth Banach space. We also obtain a uniqueness theorem for approximate Birkhoff-James orthogonality set in a normed space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_07715 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On approximate Birkhoff-James orthogonality and normal cones in a normed space Sain, Debmalya Paul, Kallol mal, Arpita Functional Analysis 46B20, 52A10 We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric point of view, and characterize them in terms of normal cones. We further explore the interconnection between normal cones and approximate Birkhoff-James orthogonality to obtain a complete characterization of normal cones in a two-dimensional smooth Banach space. We also obtain a uniqueness theorem for approximate Birkhoff-James orthogonality set in a normed space. |
| title | On approximate Birkhoff-James orthogonality and normal cones in a normed space |
| topic | Functional Analysis 46B20, 52A10 |
| url | https://arxiv.org/abs/1706.07715 |