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Continuity of Lie mappings of the skew elements of Banach algebras with involution
Author(s):
M.
I.
Berenguer;
A.
R.
Villena
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2717-2720.
MSC (1991):
Primary 46H40, 17B40
MathSciNet review:
1469400
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Abstract:
Let  and  be centrally closed prime complex Banach algebras with linear involution. If  is semisimple, then any Lie derivation of the skew elements of  is continuous and any Lie isomorphism from the skew elements of  onto the skew elements of  is continuous.
References:
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 -algebras I, Math. Ann. 284 (1989), 223-244. MR 90h:46092 - 8.
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- 10.
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Additional Information:
M.
I.
Berenguer
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
A.
R.
Villena
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email:
avillena@goliat.ugr.es
DOI:
10.1090/S0002-9939-98-04569-9
PII:
S 0002-9939(98)04569-9
Received by editor(s):
February 7, 1997
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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