Spectral inclusion properties of the numerical range in a space with an indefinite metric

被引：23

作者：

Wu, Deyu ^{[1
]}

Chen, Alatancang ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 05期

关键词：

The numerical range; The (sic)-numerical range; The indefinite inner product space; The uniformly (sic)-positive operator; INNER-PRODUCT; OPERATORS; GEOMETRY;

D O I：

10.1016/j.laa.2011.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the numerical range of operators (possibly unbounded) in an indefinite inner product space is studied. In particular, we show that the spectrums of bounded positive operators (or the spectrum of unbounded uniformly (sic)-positive operators) are contained in the closure of the (sic)-numerical range. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1131 / 1136

页数：6

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