SKEW SYMMETRIC NORMAL OPERATORS

被引：36

作者：

Li, Chun Guang ^{[1
]}

Zhu, Sen ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 08期

基金：

中国博士后科学基金;

关键词：

Skew symmetric operators; complex symmetric operators; normal operators; AUTOMORPHIC-FUNCTIONS; COMPLEX; INTERPOLATION; MATRICES;

D O I：

10.1090/S0002-9939-2013-11759-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An operator T on a complex Hilbert space H is said to be skew symmetric if there exists a conjugate-linear, isometric involution C : H -> H so that CTC = -T*. In this paper, we shall give two structure theorems for skew symmetric normal operators.

引用

页码：2755 / 2762

页数：8

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