Projections in an order unit space and orthogonality
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908408299388928 |
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| author | Karn, Anil Kumar |
| author_facet | Karn, Anil Kumar |
| contents | We introduce the notion of order projections using the order unit property of a positive element in an order unit space and characterize them in terms of (geometric) orthogonality. We describe order projections of the order unit space obtained by adjoining an order unit to a normed linear space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07623 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projections in an order unit space and orthogonality Karn, Anil Kumar Functional Analysis Primary: 46B40, Secondary: 46B20 We introduce the notion of order projections using the order unit property of a positive element in an order unit space and characterize them in terms of (geometric) orthogonality. We describe order projections of the order unit space obtained by adjoining an order unit to a normed linear space. |
| title | Projections in an order unit space and orthogonality |
| topic | Functional Analysis Primary: 46B40, Secondary: 46B20 |
| url | https://arxiv.org/abs/2410.07623 |