文献类型：期刊文献

英文题名：Local derivations and local automorphisms on some algebras

作者：Hadwin, Don[1];Li, Jiankui[2]

机构：[1]Univ New Hampshire, Dept Math, Durham, NH 03824 USA;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2008

卷号：60

期号：1

起止页码：29

外文期刊名：JOURNAL OF OPERATOR THEORY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000258109200002)】；

语种：英文

外文关键词：commutative subspace lattice; derivation; idempotent; local automorphism; local derivation

摘要：In this paper, we study some algebras that can be generated, as algebras, by their idempotents and discuss local derivations and local automorphisms on these algebras. We prove that if C is a commutative subspace lattice and M is a unital Banach algL-bimodule, then every bounded local derivation from algC into M is a derivation and that if A is a nest subalgebra in a factor von Neumann algebra M, then every local derivation from A into M is a derivation.