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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.20888 |
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| _version_ | 1866912923232763904 |
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| author | Semrl, Peter |
| author_facet | Semrl, Peter |
| contents | An elegant description of the general form of order automorphisms of effect algebras has been known in the complex case. We present a much simpler proof based on the projective geometry which works also in the real case. As an application we classify order isomorphic pairs of matrix intervals and describe the general form of order isomorphisms for any pair of isomorphic matrix intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20888 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Order automorphisms of effect algebras Semrl, Peter Functional Analysis 15B57, 47B49, 81R15 An elegant description of the general form of order automorphisms of effect algebras has been known in the complex case. We present a much simpler proof based on the projective geometry which works also in the real case. As an application we classify order isomorphic pairs of matrix intervals and describe the general form of order isomorphisms for any pair of isomorphic matrix intervals. |
| title | Order automorphisms of effect algebras |
| topic | Functional Analysis 15B57, 47B49, 81R15 |
| url | https://arxiv.org/abs/2602.20888 |