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.

引用

页码：251 / 264

页数：14

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