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Remarks on Hadamard matrices and a theorem of Macphail

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  • NSTL
  • Elsevier
In this note we discuss a unified approach to the unconditional versus absolute summability of sequences by means of combinatorial properties of Hadamard matrices. In particular we derive a constructive proof of the classical Macphail's Theorem on the existence of series in l(1) that converge unconditionally but not absolutely. (C) 2022 Elsevier Inc. All rights reserved.

Hadamard matricesMacphail's theorem

Teixeira, Katiuscia B.

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2022

10.1016/j.laa.2022.01.010

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN：0024-3795
年,卷(期)：2022.640
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