标题:
效应代数的局部E-自同构Local E-Automorphisms on Effect Algebras
作者:
张海燕, 王晓慧
关键字:
2-局部E-自同构, E-自同构, Jordan自同构, 效应代数Two-Local E-Automorphism; E-Automorphism; Jordan Automorphism; Effect Algebra
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
摘要:
本文证明了维数大于等于3的可分Hilbert空间H的效应代数E(H)上的每个满的2-局部E-自同构是E-自同构以及Jordan代数Bs(H)上线性满的2-局部E-自同构是Jordan自同构，并且都具有的形式，其中U是酉算子或反酉算子。
In this paper, it is proved that each surjective two local E-automorphism on effect algebras E(H)of Hilbert space H which dimension is equal to or more than three is E-automorphism and each surjective and linear two local E-automorphism on real space Bs(H)is not only a Jordan automorphism but also has the form , where U is unitary or anti-unitary operator.