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On series of signed vectors and their rearrangements

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Publication:2884006
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DOI10.1002/rsa.20373zbMath1250.46011OpenAlexW2035339061MaRDI QIDQ2884006

Wojciech Banaszczyk

Publication date: 14 May 2012

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20373


zbMATH Keywords

rearrangements of seriesSteinitz lemmabalancing vectorsChobanyan inequality


Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Asymptotic theory of Banach spaces (46B06)


Related Items (4)

2013 unit vectors in the plane ⋮ Discrepancy theory and related algorithms ⋮ TIGHTER BOUNDS FOR THE DISCREPANCY OF BOXES AND POLYTOPES ⋮ Rearrangements of series



Cites Work

  • Unnamed Item
  • Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob
  • Balancing vectors in the max norm
  • On some combinatorial questions in finite-dimensional spaces
  • Balancing families of integer sequences
  • A Beck-Fiala-type theorem for Euclidean norms
  • Six Standard Deviations Suffice
  • Balancing vectors and convex bodies
  • On some vector balancing problems


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