文献类型：期刊文献

英文题名：Characterizations of isomorphisms and derivations of some algebras

作者：Li, Jiankui; Pan, Zhidong; Xu, Huasu

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Saginaw Valley State Univ, Dept Math, University Ctr, MI 48710 USA

年份：2007

卷号：332

期号：2

起止页码：1314

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000247120600041)】；

语种：英文

外文关键词：derivation; isomorphism; operator algebra; zero-product preserver

摘要：Let phi be a zero-product preserving bijective bounded linear map from a unital algebra A onto a unital algebra B such that phi(1) = k. We show that if A is a CSL algebra on a Hilbert space or a J-lattice algebra on a Banach space then there exists an isomorphism psi from A onto B such that phi = k psi. For a nest algebra A in a factor von Neumann algebra, we characterize the linear maps on A such that delta(x)y + x delta (y) = 0 for all x, y is an element of A with xy = 0. (C) 2006 Elsevier Inc. All rights reserved.