Singly-generated norm closed bimodules of nest algebras

被引：0
|
作者：
Guo, Xunxiang [1 ]
机构：
[1] SW Univ Finance & Econ, Inst Math, Chengdu 611130, Sichuan, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 11-12期
关键词：
Complete nest; Nest algebra; Generator; Norm-principal bimodule; PRINCIPAL BIMODULES; STABLE IDEALS;
D O I：
10.1016/j.mcm.2011.07.035
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Let N be a complete nest of a separable Hilbert space H, algN be the nest algebra with respect to the nest N, G. B(H). We study the norm-principal bimodule of the nest algebra generated by G. Explicitly, we establish mathematical techniques and construct a type of compact operators with simple structure, which belong to this bimodule, by applying the techniques, which may be related to some classical problems in the theory of nest algebras. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：3070 / 3075
页数：6
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