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. |
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