Jordan triple isomorphisms of nest algebras and applications
Jordan triple isomorphisms of nest algebras and applications
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Jordan 巢代数的三重同构及其应用
作者：
设Ai是套代数T(Ni)的子代数，其中包含T(Ni)中的所有有限秩算子，i=1，2.设f是从A1到A2的线性双射，且对A1中的所有A，B都满足f(ABA)=f(A)f(B)f(A).然后证明f是同构，或同构的负，或反同构，或反同构的负。作为应用，刻画了Jordan同构和等距映射
Let Ai be a subalgebra of the nest algebra T( Ni) which contains all finite rank operators in T( Ni) , i=1, 2. Let f be a linear bijection from A1 onto A2 which satisfies f (ABA)= f (A) f (B) f (A) for all A, B in A1 . Then f is proved to be an isomorphism, or a negative of an isomorphism, or an anti-isomorphism, or a negative of an anti-isomorphism. As applications, Jordan isomorphisms and isometries are characterized