Similarity-invariant subspaces and similarity-preserving linear maps

被引：25
作者：
Ji, GX [1 ]
Du, HK [1 ]
机构：
[1] Shaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2002年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
linear operator; similarity-invariant subspace; similarity-preserving linear map;
D O I：
10.1007/s10114-002-0179-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the similarity-invariant subspaces of S(R), which is the Banach algebra of all bounded linear operators on a separable infinite-dimensional Hilbert space H, are completely characterized and the representations of bounded linear maps on 8(H) which preserve similarity in both directions are given.
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页码：489 / 498
页数：10
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