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arXiv · 2202.07057

Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$

P. G. Casazza
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Abstract

We will show that an unconditional basis in a Banach space is equivalent to the unit vector basis of $c_0$ or $\ell_p$ for $1\le p < \infty$ if and only if all finitely supported blocks of the basis generated by a unit vector and its dual basis are uniformly equivalent to the basis or all such blocks are uniformly complemented.

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P. G. Casazza. 2022-02-14. Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$. https://arxiv.org/abs/2202.07057

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