Acta Mathematica Hungarica
Volume/Issue:
Volume 125: Issue 3
On the circular hull property in normed planes
Authors:
H. Martini TU Chemnitz Fakultät für Mathematik D-09107 Chemnitz Germany

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M. Spirova TU Chemnitz Fakultät für Mathematik D-09107 Chemnitz Germany

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Pages:
275–285
Online Publication Date:
09 May 2009
Publication Date:
01 Nov 2009
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-009-9018-9
Keywords:
affine chord; body of constant (Minkowskian) width; circular hull property; (weak) circular intersection property; diametrical chord; Minkowski plane; normed plane; 46B20; 52A10; 52A21
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Abstract  

We extend the notion of circular hull to arbitrary normed planes and prove that a compact, convex set of constant Minkowskian width has the circular hull property in such a plane. Also we show how this property is related to the so called weak circular intersection property.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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