Nonlinear maps preserving sums of triple products on ∗ -algebras

2022/08/16 by Ferreira, João Carlos da Motta, Marietto, Maria das Graças Bruno
#46L10 #47B48 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2208.12611

Abstract

Let A and B be two unital complex ∗ -algebras such that A has a nontrivial projection. In this paper, we study the structure of bijective nonlinear maps Φ:A→ B preserving sum of triple products α₁ abc+α₂ a^*cb^*+α₃ ba^*c +α₄ cab^*+α₅ bca+α₆ cb^*a^*, where the scalars \α_k\_k=1⁶ are complex numbers satisfying some conditions.

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