On the geometry of numerical ranges in spaces with an indefinite inner product

被引：14

作者：

Bebiano, N

Lemos, R

da Providência, J

Soares, G ^{[1
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, Dept Math, P-5000911 Vila Real, Portugal

[2] Univ Coimbra, Dept Math, P-3001454 Coimbra, Portugal

[3] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

[4] Univ Coimbra, Dept Phys, P-3004516 Coimbra, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 399卷

关键词：

indefinite inner product; numerical range; generalized Levinger curve;

D O I：

10.1016/j.laa.2004.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Geometric properties of the numerical ranges of operators on an indefinite inner product space are investigated. In particular, classes of matrices are presented such that the boundary generating curves of the J-numerical range are hyperbolical. The curvature of the J-numerical range at a boundary point is studied, generalizing results of Fiedler on the classical numerical range. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：17 / 34

页数：18

共 18 条

[1] On generalized numerical ranges of operators on an indefinite inner product space [J].