Lie isomorphisms of nest algebras on Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Wang, Ting^1,2  Lu, Fangyan¹ 

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[2] Nanyang Normal Univ, Dept Math & Stat, Nanyang 47306, Peoples R China

关键词: Lie isomorphism;    Nest algebra;    Commutative Lie ideal;    Idempotent operator;    Rank-one operator;   

DOI  :  10.1016/j.jmaa.2012.01.044

来源: Elsevier

【 摘 要 】

We show that a Lie isomorphism Psi between nest algebras on Banach spaces can be decomposed as Psi = phi + tau, where phi is an (algebraic) isomorphism or a negative of an (algebraic) anti-isomorphism, and tau is a linear map with image in the center vanishing on each commutator. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free