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arXiv · 2204.10143

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

Peter G. Casazza·Stephen J. Dilworth·Denka Kutzarova·Pavlos Motakis
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Abstract

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 $\ell_1$.

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Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova, Pavlos Motakis. 2022-04-21. New characterizations of the unit vector basis of $c_0$ or $\ell_p$. https://arxiv.org/abs/2204.10143

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