Lie Isomorphisms of Nest Algebras
✍
Laurent W Marcoux; Ahmed R Sourour
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 149 KB
In this paper we characterize linear maps . between two nest algebras T(N) and T(M) which satisfy the property that .(AB&BA)=. ## (A) .(B)&.(B) .(A) for all A, B # T(N). In particular, it is shown that such isomorphisms only exist if N is similar to M or M = .