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Continuity of Lie derivations on Banach algebras

  • M. I. Berenguer (a1) and A. R. Villena (a1)
Abstract

The separating subspace of any Lie derivation on a semisimple Banach algebra A is contained in the centre of A.

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References
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1.Brešar M., Commuting traces of biadditive mappings, commutativity preserving mappings and Lie mappings, Trans. Amer. Math. Soc. 335 (1993), 525546.
2.de la Harpe P., Classical Banach-Lie algebras and Banach Lie groups of operators in Hilbert space (Lecture Notes in Math. 285, Springer-Verlag, Berlin, 1972).
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10.Thomas M. P., Primitive derivations on non-commutative Banach algebras, Pacific J. Math. 159(1993), 139152.
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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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