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arXiv:2204.10143 [math.FA]AbstractReferencesReviewsResources

New characterizations of the unit vector basis of $c_0$ or $\ell_p$

Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova, Pavlos Motakis

Published 2022-04-21Version 1

Motivated by Altshuler's famous characterization of the unit vector basis of $c_0$ or $\ell_p$ among symmetric bases, we obtain similar characterizations among democratic bases and among bidemocratic bases. We also prove a separate characterization of the unit vector basis of $\ell_1$.

Categories: math.FA
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