Isomorphisms between sub-strongly reducible maximal triangular algebras

被引:1
作者
Lu, FY [1 ]
Lu, SJ
机构
[1] Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
关键词
sub-strongly reducible maximal triangular algebras; hull nest; isomorphism;
D O I
10.1090/S0002-9939-99-05459-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the concept of sub-strongly maximal triangular algebras which form a large class of maximal triangular algebras, and prove that every algebraic isomorphism of sub-strongly maximal triangular algebras is spatially implemented, which generalizes the result by Ringrose in two respects.
引用
收藏
页码:2121 / 2128
页数:8
相关论文
共 10 条
[1]  
Davidson K.R., 1988, PITMAN RES NOTES MAT, V191
[2]  
ERDOS J. A., 1968, J. London Math. Soc., V43, P391
[3]   SOME RESULTS ON TRIANGULAR OPERATOR ALGEBRAS [J].
ERDOS, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1967, 89 (01) :85-&
[4]  
Kadison Richard V., 1991, CONT MATH, V120, P63, DOI [10.1090/conm/120/1126275, DOI 10.1090/CONM/120/1126275]
[5]   TRIANGULAR OPERATOR ALGEBRAS - FUNDAMENTALS AND HYPERREDUCIBLE THEORY [J].
KADISON, RV ;
SINGER, IM .
AMERICAN JOURNAL OF MATHEMATICS, 1960, 82 (02) :227-259
[6]   TRIANGULAR ALGEBRAS AND IDEALS OF NEST-ALGEBRAS [J].
ORR, JL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 23 (02) :461-467
[8]   ALGEBRAIC ISOMORPHISMS BETWEEN ORDERED BASES [J].
RINGROSE, JR .
AMERICAN JOURNAL OF MATHEMATICS, 1961, 83 (03) :463-&
[9]  
RINGROSE JR, 1966, P LOND MATH SOC, V16, P385
[10]  
RINGROSE JR, 1965, P LOND MATH SOC, V15, P61