Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Abstract
Let A be a prime *-algebra. A product defined as U•V=UV∗+VU∗ for any U,V∈A, is called a bi-skew Jordan product. A map ξ:A→A, defined as ξpnU1,U2,⋯,Un=∑k=1npnU1,U2,...,Uk−1,ξ(Uk),Uk+1,⋯,Un for all U1,U2,...,Un∈A, is called a non-linear bi-skew Jordan n-derivation. In this article, it is shown that ξ is an additive ∗-derivation.
Funder
Princess Nourah bint Abdulrahman
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference20 articles.
1. A condition for a subspace of B(H) to be an ideal;Molnar;Linear Algebra Appl.,1996
2. Local Jordan ∗-derivations of standard operator algebras;Molnar;Proc. Amer. Math. Soc.,1997
3. Jordan ∗-derivations of standard operator algebras;Proc. Amer. Math. Soc.,1994
4. ∗-Jordan-type maps on C∗-algebras;Ferreira;Comm. Algebra,2021
5. Nonlinear ∗-Jordan derivations on von Neumann algebras;Taghavi;Linear Multilinear Algebra,2016