Geodesic
Mappings preserving sum of products α1ab∗ + α2b∗a + α3ba∗ (resp., α1ab∗ + α2b∗a + α3a∗b) on ∗-algebras
Filomat, Tome 37 (2023) no. 9, p. 2799

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DOI

Let A and B be two unital prime complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of the bijective mappings Φ ∶ A → B preserving sum of products α 1 ab * + α 2 b * a + α 3 ba * (resp., α 1 ab * + α 2 b * a + α 3 a * b), where the scalars {α k } 3 k=1 are rational numbers satisfying some conditions.
DOI : 10.2298/FIL2309799T
Classification : 47B48, 46L10
Keywords: Preserving problems, prime algebras, ∗-algebras, linear maps, multiplicative maps 
Ali Taghavi; João Carlos da Motta Ferreira; Maria Das Graças Bruno Marietto. Mappings preserving sum of products α1ab∗ + α2b∗a + α3ba∗ (resp., α1ab∗ + α2b∗a + α3a∗b) on ∗-algebras. Filomat, Tome 37 (2023) no. 9, p. 2799 . doi: 10.2298/FIL2309799T
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     author = {Ali Taghavi and Jo\~ao Carlos da Motta Ferreira and Maria Das Gra\c{c}as Bruno Marietto},
     title = {Mappings preserving sum of products \ensuremath{\alpha}1ab\ensuremath{*} + \ensuremath{\alpha}2b\ensuremath{*}a + \ensuremath{\alpha}3ba\ensuremath{*} (resp., \ensuremath{\alpha}1ab\ensuremath{*} + \ensuremath{\alpha}2b\ensuremath{*}a + \ensuremath{\alpha}3a\ensuremath{*}b) on \ensuremath{*}-algebras},
     journal = {Filomat},
     pages = {2799 },
     year = {2023},
     volume = {37},
     number = {9},
     doi = {10.2298/FIL2309799T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309799T/}
}
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