On the Normality of the Sum of Two Normal Operators

被引：10

作者：

Mortad, Mohammed Hichem ^{[1
]}

机构：

[1] Univ Oran Es Senia, Dept Math, El Menouar 31000, Oran, Algeria

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2012年 / 6卷 / 01期

关键词：

Normal operators; Commutativity; Sum of operators; Bounded and unbounded operators; Relative boundedness; Perturbation; Self-adjoint operators;

D O I：

10.1007/s11785-010-0072-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to give sufficient conditions on two normal operators (bounded or not), defined on a Hilbert space, which make their algebraic sum normal. The results are accompanied by some interesting examples and counter examples.

引用

页码：105 / 112

页数：8

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