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	Rank-1 nilpotency linear preservers on nest algebras
	Cui, JL ; Guo, MZ ; Hou, JC
	2004
关键词	rank-1 nilpotent operator linear preserver nest algebra MAPS
英文摘要	Let N and M be two nests on Banach spaces X and Y, respectively, and let Phi be a linear map between nest algebras Alg N and Alg M of which the range contains all rank-1 nilpotent operators in Alg M. We give some structure theorems for Phi to be rank-1 nilpotency preserving in both directions, and obtain particularly a characterization of such Phi if it is bounded and X and Y are Hilbert spaces with dim X greater than or equal to 6. (C) 2003 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 2; ARTICLE; 1-3; 267-290; 377
语种	英语
出处	SCI ; EI
出版者	线性代数及其应用
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/255562]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cui, JL,Guo, MZ,Hou, JC. Rank-1 nilpotency linear preservers on nest algebras. 2004-01-01.

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