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Lie Derivations of Reflexive Algebras |
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| Authors: | Fangyan Lu Benhong Liu |
| Affiliation: | (1) Department of Mathematics, Suzhou University, Suzhou, 215006, People’s Republic of China |
| Abstract: | A Lie derivation is called standard if it is a sum of a derivation and a linear map with image in the center vanishing on commutators. In this paper we show that Lie derivations of a reflexive algebra  on a Banach space are standard if  is a nest, or has the non-trivial smallest element, or has the non-trivial greatest element. This work was supported by NNSFC (No. 10771154) and PNSFJ (No. BK2007049). |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 47L35 Secondary 17B40, 17B60 |
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