Record link: 
http://hdl.handle.net/20.500.12708/80401
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Title: 
The complex plank problem, revisited
en
Citation: 
Ortega Moreno, O. A. (2022). The complex plank problem, revisited. Discrete and Computational Geometry, 86. https://doi.org/10.1007/s00454-022-00423-7
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Publisher DOI: 
10.1007/s00454-022-00423-7
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Publication Type: 
Article - Original Research Article
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Artikel - Original Research Article
de
Language: 
English
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Authors: 
Ortega Moreno, Oscar Adrian 
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Organisational Unit: 
E104-07 - Forschungsbereich Geometrische Analysis 
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Journal: 
Discrete and Computational Geometry 
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ISSN: 
0179-5376
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Date (published): 
27-Aug-2022
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Number of Pages: 
5
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Publisher: 
SPRINGER
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Peer reviewed: 
Yes
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Keywords: 
complex geometry; discrete geometry; functional analysis; covering problems, plank problems
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Abstract: 
Ball’s complex plank theorem states that if v1,…,vn are unit vectors in Cd, and t1,…,tn are non-negative numbers satisfying ∑nk=1t2k=1, then there exists a unit vector v in Cd for which |⟨vk,v⟩|≥tk for every k. Here we present a streamlined version of Ball’s original proof.
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Project title: 
Affine isoperimetrische Ungleichungen: P31448-N35 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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