Jordan isomorphisms of nest algebras

被引：0
|
作者：
Liu, Lei [1 ]
Li, Kaipeng [1 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2025年
基金：
中国国家自然科学基金;
关键词：
Isomorphism; Jordan isomorphism; Nest algebra; ISOMETRIES;
D O I：
10.1080/00927872.2025.2453896
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let N and M be two nontrivial nests on a real or complex Hilbert space H. Let algN and algM be two nest algebras. Suppose that phi is a linear bijective mapping from algN onto algM such that phi(AB+BA)=phi(A)phi(B)+phi(B)phi(A) for any A,B is an element of algN with AB=G , where G is an arbitrary but fixed operator in algN and phi(I)=I . Then phi is either an isomorphism or an anti-isomorphism.
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页数：8
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