Multiplicative mappings of operator algebras

被引：40
作者：
Lu, FY [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 347卷 / 1-3期
关键词：
mutiplicative isomorphisms; standard subalgebras; additivity; linearity;
D O I：
10.1016/S0024-3795(01)00560-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nest algebras are the natural analogues of upper triangular matix algebras in an infinite dimensional Hilbert space. In this paper, we study multiplicative isomorphisms of subalgebras of nest algebras which contain all finite rank operators but might contain no idempotents. We prove that such multiplicative mappings are automatically additive and linear (or conjugate linear). (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：283 / 291
页数：9
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