Multiplicatively spectrum-preserving maps on $C^{*}$-algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917631740608512 |
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| author | Mori, Michiya Oi, Shiho |
| author_facet | Mori, Michiya Oi, Shiho |
| contents | We study surjective maps between the sets of all self-adjoint elements of unital $C^*$-algebras which satisfy the multiplicatively spectrum-preserving property. We show that such maps are characterized by Jordan isomorphisms and central symmetries. This is an answer to a problem posed by Molnár. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04563 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicatively spectrum-preserving maps on $C^{*}$-algebras Mori, Michiya Oi, Shiho Operator Algebras Functional Analysis 46L05, 47A10, 47B49 We study surjective maps between the sets of all self-adjoint elements of unital $C^*$-algebras which satisfy the multiplicatively spectrum-preserving property. We show that such maps are characterized by Jordan isomorphisms and central symmetries. This is an answer to a problem posed by Molnár. |
| title | Multiplicatively spectrum-preserving maps on $C^{*}$-algebras |
| topic | Operator Algebras Functional Analysis 46L05, 47A10, 47B49 |
| url | https://arxiv.org/abs/2404.04563 |