ON THE UNIQUENESS OF THE POLAR DECOMPOSITION OF BOUNDED OPERATORS IN HILBERT SPACES

被引：5

作者：

Ichinose, Wataru ^{[1
]}

Iwashita, Kanako ^{[1
]}

机构：

[1] Shinshu Univ, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

来源：

JOURNAL OF OPERATOR THEORY | 2013年 / 70卷 / 01期

基金：

日本学术振兴会;

关键词：

Polar decomposition; uniqueness; bounded linear operator; Hilbert space;

D O I：

10.7900/jot.2011may16.1911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known as a fundamental result in the theory of the classical groups that the polar decomposition of a regular matrix exists and is uniquely determined. In this paper a generalization of the result above is given for a bounded operator in Hilbert spaces, in particular on the uniqueness of the polar decomposition.

引用

页码：175 / 180

页数：6

共 13 条

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[5] UNIQUENESS OF POLAR DECOMPOSITION
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