Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\)
type: Item
instance of: scholarly article
title: Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\)
zbMATH Open document ID: 0786.32020
DOI: 10.1007/BF02761694
author: Binyamin Schwarz
published in: Israel Journal of Mathematics
publication date: 1994-05-18T00:00:00Z
review text: Sei \(H \subset \mathbb{C}^ 2\) die offene Einheitskugel bezüglich der \(l_ 1\)-Norm. Es wird gezeigt, daß die Carathéodory-Kugeln (von endlichem Radius) in \(H\), die gleichzeitig \(l_ 1\)-Kugeln sind, ihr Zentrum im Nullpunkt haben müssen.
reviewed by: Peter Pflug
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 474987
zbMATH Keywords: Carathéodory balls
zbMATH Keywords: norm balls
MaRDI profile type: Publication
cites work: Q3996816
cites work: Q3892778
cites work: On a minimal complex norm that extends the real Euclidean norm
cites work: The Kobayashi and Bergman Metrics on Generalized Thullen Domains
cites work: On the geometry of some matrix domains
cites work: Bounds for the carathéodory distance of the unit ball∗
cites work: Zu den Abbildungen durch analytische Funktionen mehrerer komplexer Veränderlichen. Die Invarianz des Mittelpunktes von Kreiskörpern
cites work: Q3949259
full work available at URL: https://doi.org/10.1007/bf02761694
OpenAlex ID: W2074770956
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description: scientific article; zbMATH DE number 474987