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Continuity of Lie Isomorphisms of Banach Algebras
Author(s) -
Berenguer M. I.,
Villena A. R.
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398005128
Subject(s) - mathematics , isomorphism (crystallography) , mathematics subject classification , pure mathematics , subspace topology , algebra over a field , mathematical analysis , chemistry , crystal structure , crystallography
We prove that if A and B are semisimple Banach algebras, then the separating subspace of every Lie isomorphism from A onto B is contained in the centre of B . 1991 Mathematics Subject Classification 17B40, 17B60, 46H40.