Derivable mappings at unit operator on nest algebras

被引：46

作者：

Zhu, Jun ^{[1
]}

Xiong, Changping ^{[1
]}

机构：

[1] Huangzhou Dianzi Univ, Math Inst, Hangzhou 310018, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 422卷 / 2-3期

关键词：

nest algebra; derivable mappings at the unit operator; inner derivation;

D O I：

10.1016/j.laa.2006.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be an operator subalgebra with the unit operator I in B(H). We say that a linear mapping phi from A into itself is a derivable mapping at I if phi(ST) = phi(S)T + S phi(T) for any S, T is an element of A with ST = I. In this paper, we show the following main result: every strongly operator topology continuous derivable mapping at I on a nest algebra alg.,/r is an inner derivation. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：721 / 735

页数：15

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