Lie Isomorphisms of Nest Algebras
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Laurent W Marcoux; Ahmed R Sourour
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Article
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1999
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Elsevier Science
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English
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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 = .