Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras

dc.contributor.author	Ferreira, J.C.M.
dc.contributor.author	Marietto, M.G.B.
dc.date.accessioned	2023-03-11T13:17:04Z
dc.date.available	2023-03-11T13:17:04Z
dc.date.issued	2021
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1482
dc.identifier.other	2020 MSC: 47B48, 46L10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188677
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA