MAXIMAL IDEALS IN SOME SPACES OF BOUNDED LINEAR OPERATORS

被引：2
|
作者：
Leung, Denny H. [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2018年 / 61卷 / 01期
关键词：
bounded linear operators; maximal ideal; LESS-THAN INFINITY; CLOSED IDEALS; BANACH ALGEBRA; COMMUTATORS; UNIQUENESS; LATTICE;
D O I：
10.1017/S0013091517000219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We add to the list of Banach spaces X for which it is known that the space of bounded linear operators on X has a unique maximal ideal. In particular, the result holds if X is a subsymmetric direct sum of l(p) or of the Schlumprecht space S. We also show that two recently identified ideals in L(J(p)), where J(p) is the pth James space, each contains a unique maximal ideal.
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页码：251 / 264
页数：14
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