摘要
设η≠-1是一个非零复数,Φ是两个von Neumann代数间的不必为线性的双射(其中一个代数无中心交换投影),如果满足Φ(I)=I,并且保持Jordan多重η-*-积.则当η不是实数时,Φ是一个线性*-同构;当η是实数时,Φ是一个线性*-同构和一个共轭线性*-同构的和.
Letη≠-1 be a non-zero complex number,and let 0 be a not necessarily linear bijection between two von Neumann algebras,one of which has no central abelian projections,satisfyingΦ(I)=I and preserving the Jordan multipleη-*-product.It is shown that 0 is a linear*-isomorphism ifηis not real,andΦis the sum of a linear*-isomorphism and a conjugate linear*-isomorphism ifηis real.
作者
霍东华
刘红玉
HUO Donghua;LIU Hongyu(School of Mathematical Sciences,Mudanjiang Normal University,Mudanjiang,Heilongjiang,157012,P.R.China)
出处
《数学进展》
CSCD
北大核心
2021年第2期214-230,共17页
Advances in Mathematics（China）
基金
Supported by National Subject Cultivation Project of Mudanjiang Normal University(No.GP2020005)
Reform and Development Foundation for Local Colleges and Universities of the Central Government(Excellent Young Talents Project of Heilongjiang Province No.ZYQN2019071)。
