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- W2004308393 abstract "Let A standard operator algebra which does not contain the identity operator, acting on a Hilbert space of dimension greater than one. If <TEX>${Phi}$</TEX> is a bijective Lie map from A onto an arbitrary algebra, that is <TEX>$${phi}$$</TEX>(AB-BA)=<TEX>$${phi}(A){phi}(B)-{phi}(B){phi}(A)$$</TEX> for all A, B<TEX>${in}$</TEX>A, then <TEX>${phi}$</TEX> is additive. Also, if A contains the identity operator, then there exists a bijective Lie map of A which is not additive." @default.
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- W2004308393 date "2007-05-31" @default.
- W2004308393 modified "2023-10-16" @default.
- W2004308393 title "ADDITIVITY OF LIE MAPS ON OPERATOR ALGEBRAS" @default.
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- W2004308393 doi "https://doi.org/10.4134/bkms.2007.44.2.271" @default.
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