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      The complex plank problem, revisited

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          Abstract

          Ball's complex plank theorem states that if \(v_1,\dots,v_n\) are unit vectors in \(\mathbb{C}^n\), and \(t_1,\dots,t_n\), non-negative numbers satisfying \(\sum_{k=1}^nt_k^2 = 1,\) then there exists a unit vector \(v\) in \(\mathbb{C}^n\) for which \(|\langle v_k,v \rangle | \geq t_k\) for every \(k\). Here we present a streamlined version of Ball's original proof.

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          Journal
          06 November 2021
          Article
          2111.03961
          d067a979-5d9f-4a09-8ca8-9b243959fe36

          http://creativecommons.org/licenses/by/4.0/

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          Custom metadata
          52C17
          math.FA math.CO math.CV math.MG

          Analysis,Combinatorics,Functional analysis,Geometry & Topology
          Analysis, Combinatorics, Functional analysis, Geometry & Topology

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