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.

引用

页码：489 / 498

页数：10

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