Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras
In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(a ◦ b + baΦ) = Φ(a) ◦ Φ(b) + Φ(b)Φ(a)* (where ◦ is the special Jordan product on A and B, respectively), for all elements a, b ∈ A, if and only if Φ is a ∗-ring isomorphism. In particular, if the von Neumann algebras A and B are...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188677 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras / J.C.M. Ferreira, M.G.B. Marietto // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 61–70. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730045456384000 |
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| author | Ferreira, J.C.M. Marietto, M.G.B. |
| author_facet | Ferreira, J.C.M. Marietto, M.G.B. |
| citation_txt | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras / J.C.M. Ferreira, M.G.B. Marietto // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 61–70. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(a ◦ b + baΦ) = Φ(a) ◦ Φ(b) + Φ(b)Φ(a)* (where ◦ is the special Jordan product on A and B, respectively), for all elements a, b ∈ A, if and only if Φ is a ∗-ring isomorphism. In particular, if the von Neumann algebras A and B are type I factors, then Φ is a unitary isomorphism or a conjugate unitary isomorphism.
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| first_indexed | 2025-12-07T19:18:16Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188677 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:18:16Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ferreira, J.C.M. Marietto, M.G.B. 2023-03-11T13:17:04Z 2023-03-11T13:17:04Z 2021 Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras / J.C.M. Ferreira, M.G.B. Marietto // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 61–70. — Бібліогр.: 7 назв. — англ. 1726-3255 DOI:10.12958/adm1482 2020 MSC: 47B48, 46L10 https://nasplib.isofts.kiev.ua/handle/123456789/188677 In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(a ◦ b + baΦ) = Φ(a) ◦ Φ(b) + Φ(b)Φ(a)* (where ◦ is the special Jordan product on A and B, respectively), for all elements a, b ∈ A, if and only if Φ is a ∗-ring isomorphism. In particular, if the von Neumann algebras A and B are type I factors, then Φ is a unitary isomorphism or a conjugate unitary isomorphism. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras Article published earlier |
| spellingShingle | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras Ferreira, J.C.M. Marietto, M.G.B. |
| title | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras |
| title_full | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras |
| title_fullStr | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras |
| title_full_unstemmed | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras |
| title_short | Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras |
| title_sort | mappings preserving sum of products a ◦ b + ba* on factor von neumann algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188677 |
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