Completely rank nonincreasing linear maps on nest algebras

被引：8

作者：

Hou, JH

Cui, JL

机构：

[1] Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 05期

关键词：

nest algebras; rank; linear maps;

D O I：

10.1090/S0002-9939-03-07275-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the completely rank nonincreasing bounded linear maps on nest algebras acting on separable Hilbert spaces are characterized, and an affirmative answer to a problem posed by Hadwin and Larson is given for the case of such nest algebras.

引用

页码：1419 / 1428

页数：10

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