Extending surjective maps preserving the norm of symmetric kubo-ando means
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916941139017728 |
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| author | Chetcuti, Emmanuel Healey, Curt |
| author_facet | Chetcuti, Emmanuel Healey, Curt |
| contents | Recently, the question of whether surjective maps preserving the norm of a symmetric Kubo-Ando mean can be extended to Jordan $\ast$-isomorphisms has been tackled. The question was affirmatively answered for surjective maps between $C^{*}$-algebras for certain specific classes of symmetric Kubo-Ando means. Here, we give a comprehensive answer to this question for surjective maps between $AW^{*}$-algebras preserving the norm of any symmetric Kubo-Ando mean. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extending surjective maps preserving the norm of symmetric kubo-ando means Chetcuti, Emmanuel Healey, Curt Operator Algebras Recently, the question of whether surjective maps preserving the norm of a symmetric Kubo-Ando mean can be extended to Jordan $\ast$-isomorphisms has been tackled. The question was affirmatively answered for surjective maps between $C^{*}$-algebras for certain specific classes of symmetric Kubo-Ando means. Here, we give a comprehensive answer to this question for surjective maps between $AW^{*}$-algebras preserving the norm of any symmetric Kubo-Ando mean. |
| title | Extending surjective maps preserving the norm of symmetric kubo-ando means |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2412.03094 |