文献类型：期刊文献

英文题名：On centralizers of reflexive algebras

作者：Guo, Jianbin[1];Li, Jiankui[1]

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

年份：2012

卷号：84

期号：1-2

起止页码：1

外文期刊名：AEQUATIONES MATHEMATICAE

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000308637000001)】；

基金：The authors thank the referees for their useful suggestions and Yunhe Chen for discussions during the preparation of this paper. This work is supported by NSF of China.

语种：英文

外文关键词：Centralizer; CSL algebra; reflexive algebra

摘要：Let be a subspace lattice on a complex Banach space X and delta be a linear mapping from into B(X) such that for every or . We show that if one of the following holds (1) , (2) and X is reflexive, then delta is a centralizer. We also show that if is a CSL and delta is a linear mapping from into itself, then delta is a centralizer.