文献类型：期刊文献

英文题名：2-LOCAL DERIVATIONS ON SEMISIMPLE BANACH ALGEBRAS WITH MINIMAL LEFT IDEALS

作者：HUANG, W. E. N. B. O.[1];LI, J. I. A. N. K. U. I.[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：110

期号：3

起止页码：321

外文期刊名：JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000650322000003)】；

基金：This paper was partially supported by the National Natural Science Foundation of China (Grant No. 11871021).

语种：英文

外文关键词：derivation; 2-local derivation; modular annihilator algebra; socle; trace

摘要：Let A be a semisimple Banach algebra with minimal left ideals and soc(A) be the socle of A. We prove that if soc(A) is an essential ideal of A, then every 2-local derivation on A is a derivation. As applications of this result, we can easily show that every 2-local derivation on some algebras, such as semisimple modular annihilator Banach algebras, strongly double triangle subspace lattice algebras and J-subspace lattice algebras, is a derivation.