Multiplicatively spectrum-preserving maps on $C^{}$-algebras
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 Moln\'...
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| creator | Mori, Michiya Oi, Shiho |
| description | 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 Moln\'ar. |
| doi_str_mv | 10.48550/arxiv.2404.04563 |
| format | Article |
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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 Moln\'ar.</abstract><doi>10.48550/arxiv.2404.04563</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Functional Analysis Mathematics - Operator Algebras |
| title | Multiplicatively spectrum-preserving maps on $C^{}$-algebras |
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