Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms

被引：0
|
作者：
Feldman, I. [1 ]
Krupnik, N. [1 ]
Markus, A. [2 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[2] Ben Gurion Univ Negev, Dept Mat, Beer Sheva, Israel
来源：
CHARACTERISTIC FUNCTIONS, SCATTERING FUNCTIONS AND TRANSFER FUNCTIONS: THE MOSHE LIVSIC MEMORIAL VOLUME | 2010年 / 197卷
关键词：
Quadratic forms; connectedness; convexity; numerical range; Toeplitz-Hausdorff Theorem; TOEPLITZ-HAUSDORFF THEOREM;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
O. Toeplitz and F. Hausdorff proved that the range of any quadratic form on the unit sphere S of an inner product space X is convex and the level sets of any Hermitian form on S are connected. We consider the question: Which subsets of X, besides S, have these properties'?
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页码：149 / +
页数：3
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