科研之友
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摘要
Let A be a standard operator algebra which does not contain the identity operator, acting on a Hilbert space of dimension greater than one. If Phi is a bijective Lie map from cl onto an arbitrary algebra, that is Phi(AB - BA) = Phi(A)-Phi(B) - Phi(B)Phi(A) for all A, B epsilon A, then Phi is additive. Also, if A contains the identity operator, then there exists a bijective Lie map of A which is not additive.
- 出版日期2007-5
- 单位南京大学
