文献类型：期刊文献

英文题名：Isomorphisms and generalized derivations of some algebras

作者：Li, Jiankui[1];Pan, Zhidong[2];Zhou, Jiren[1]

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：2010

卷号：28

期号：4

起止页码：365

外文期刊名：EXPOSITIONES MATHEMATICAE

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000285668100006)】；

基金：This work was completed with the support of NSF of China and the Ruth and Ted Braun Fellowship from the Saginaw Community Foundation.

语种：英文

外文关键词：Ideal; Idempotent; Isomorphism; Jordan derivation

摘要：For a commutative subspace lattice L on a complex Hilbert space and a bounded bijective linear mapping h from alg L onto a unital Banach algebra B, we show that if h satisfies h(A)h(B)h(C) = 0 for all A, B, C in alg L with AB = BC = 0 and h(I)= 1, then h is an isomorphism. For a J-subspace lattice L on a Banach space and the unital subalgebra A of alg L generated by finite-rank operators, we show that all generalized Jordan derivations from A to any unital A-bimodule are generalized derivations. (C) 2010 Elsevier GmbH. All rights reserved.