Derivations and isomorphisms of certain reflexive operator algebras

被引：2
|
作者：
Hou, CJ [1 ]
Han, DG
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
ACTA MATHEMATICA SINICA-NEW SERIES | 1998年 / 14卷 / 01期
关键词：
CDS algebra; nest algebra; derivation; isomorphism;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will prove that every derivation of completely distributive subspace lattice (CDS)algebras on Banach space is automatically continuous. This is new even in the Hilbert space case. As an application of this result, we obtain that every additive derivation bf nest algebras on Banach spaces is inner. We will also prove that every isomorphism between nest algebras on Banach space is automatically continuous, and in addition, is spatial.
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页码：105 / 112
页数：8
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