Nonlinear maps preserving Jordan *-products
By L. Dai, F. Lu. 2014
68 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/48ecae1285f76da38bf1bb7e9a2d580daf84b077
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- Nonlinear Maps Preserving the Jordan Triple 1-$$*$$∗-Product on Von Neumann Algebras (2017, background): “Recently, many authors pay more attention to maps preserving the Jordan η-∗-product between ∗-algebra (see, for example, [2,6]).”
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras (2018, unknown): “(1) φ(A •B • C) = φ(A) •B • C +A • φ(B) • C +A •B • φ(C) for all A,B,C ∈ A; (2) φ(Pi) = 0, i = 1, 2; (3) φ is additive; (4) For all A ∈ A, φ(A∗) = φ(A)∗; (5) φ is an additive derivation if and only if Φ is an additive derivation.”