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New characterizations of the unit vector basis of
$c_0$ or 
$ \ell _{p}$
- Part of
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- Journal:
- Canadian Mathematical Bulletin / Volume 66 / Issue 4 / December 2023
- Published online by Cambridge University Press:
- 21 February 2023, pp. 1073-1083
- Print publication:
- December 2023
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- Article
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Motivated by Altshuler’s famous characterization of the unit vector basis of
$c_0$ or 
$\ell _p$ among symmetric bases (Altshuler [1976, Israel Journal of Mathematics, 24, 39–44]), we obtain similar characterizations among democratic bases and among bidemocratic bases. We also prove a separate characterization of the unit vector basis of 
$\ell _1$.
