Continuity of Lie isomorpmisms of Banach algebras

被引:17
作者
Berenguer, MI [1 ]
Villena, AR [1 ]
机构
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
关键词
D O I
10.1112/S0024609398005128
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:6 / 10
页数:5
相关论文
共 17 条
[2]   Commutativity preserving mappings on semiprime rings [J].
Banning, R ;
Mathieu, M .
COMMUNICATIONS IN ALGEBRA, 1997, 25 (01) :247-265
[4]   COMMUTATIVITY PRESERVING MAPPINGS OF VON-NEUMANN-ALGEBRAS [J].
BRESAR, M ;
MIERS, CR .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1993, 45 (04) :695-708
[5]  
De la Harpe P., 1972, LECT NOTES MATH, V285
[6]  
Herstein I. N., 1956, T AM MATH SOC, V81, P331
[7]   LIE AND JORDAN STRUCTURES IN SIMPLE, ASSOCIATIVE RINGS [J].
HERSTEIN, IN .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (06) :517-&
[8]  
Hua Loo-Keng., 1951, J CHINESE MATH SOC N, V1, P110
[9]  
Jacobson N., 1962, LIE ALGEBRAS
[10]  
Martindale W. S., 1963, P AM MATH SOC, V14, P909, DOI DOI 10.2307/2035026