CORC  > 北京大学  > 数学科学学院
Linear maps preserving idempotence on nest algebras
Cui, JL ; Hou, JC
2004
关键词nest algebras rank-1 operators idempotent operators Jordan isomorphisms
英文摘要In this paper, we discuss the rank-1-preserving linear maps on nest algebras of Hilbert-space operators. We obtain several characterizations of such linear maps and apply them to show that a weakly continuous linear bijection on an atomic nest algebra is idempotent preserving if and only if it is a Jordan homomorphism, and in turn, if and only if it is an automorphism or an anti-automorphism.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000224806000006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 4; ARTICLE; 5; 807-820; 20
语种英语
出处SCI
出版者acta mathematica sinica english series
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157986]  
专题数学科学学院
推荐引用方式
GB/T 7714
Cui, JL,Hou, JC. Linear maps preserving idempotence on nest algebras. 2004-01-01.
个性服务
查看访问统计
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。


©版权所有 ©2017 CSpace - Powered by CSpace