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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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2021
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188677 |
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