✦ LIBER ✦

Lie Isomorphisms of Nest Algebras

✍ Scribed by Laurent W Marcoux; Ahmed R Sourour

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 149 KB
Volume: 164
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3388

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✦ Synopsis

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 = .

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