Lie ideals in triangular operator algebras

被引：16
|
作者：
Hudson, TD [1 ]
Marcoux, LW
Sourour, AR
机构：
[1] E Carolina Univ, Dept Math, Greenville, NC 27858 USA
[2] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
[3] Univ Victoria, Dept Math, Victoria, BC V8W 3P4, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 08期
关键词：
D O I：
10.1090/S0002-9947-98-02117-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Lie ideals in two classes of triangular operator algebras: nest algebras and triangular UHF algebras. Our main results show that if L is a closed Lie ideal of the triangular operator algebra A, then there exist a closed associative ideal K and a closed subalgebra D-K of the diagonal A boolean AND A* so that K subset of or equal to L subset of or equal to K + D-K.
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页码：3321 / 3339
页数：19
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