The Lempert function of the symmetrized polydisc in higher dimensions is not a distance

被引：23

作者：

Nikolov, Nikolai ^{[1
]}

Pflug, Peter

Zwonek, Wlodzimierz

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Carl von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany

[3] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 09期

关键词：

symmetrized polydisc; Caratheodory distance and metric; Kobayashi distance and metric; Lempert function;

D O I：

10.1090/S0002-9939-07-08817-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the Lempert function of the symmetrized polydisc in dimension greater than two is not a distance.

引用

页码：2921 / 2928

页数：8

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