Maps preserving bi-skew η-Jordan product on von Neumann algebras.

Autor: Darvish, Vahid, Nouri, Mojtaba, Razeghi, Mehran
Zdroj: Asian-European Journal of Mathematics; Feb2024, Vol. 17 Issue 2, p1-15, 15p
Abstrakt: Let and ℬ be two von Neumann algebras such that is factor. In this paper, we suppose that Φ from onto ℬ is bijective, unital and satisfies Φ (A ∗ B + η B ∗ A) = Φ (A) ∗ Φ (B) + η Φ (B) ∗ Φ (A) for all A , B ∈ where η is a nonzero scalar such that | η | ≠ 1. Then, Φ is additive ∗-isomorphism. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index