Work

Nonlinear maps preserving the second mixed triple η-*-product between von Neumann algebras

Year: 2025

Type: article

Abstract: Let ? ? ?1 be a non-zero scalar, and let ? be a not necessarily linear bijection between two von Neumann algebras, one of which has no center abelian projections, satisfying ?(I) = I and ?(iI)* =-?(iI) and preserving the second mixed triple ?-*-product. It is showed that ? is a linear *-isomorphism if |?| = 1 and ? is a sum of a linear *-isomorphism and a conjugate linear *-isomorphism if |?|?1.

Source: Filomat

DOI: 10.2298/fil2506785p

Authors: Yongfeng Pang, Huihui Yue, Yawei Du

Institution: Xi'an University of Architecture and Technology

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shaanxi Province

Awards: G2420273821, Halmos双射影理论及其相关问题的研究