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

arXiv eprints
 Pub Date:
 February 2022
 DOI:
 10.48550/arXiv.2202.07057
 arXiv:
 arXiv:2202.07057
 Bibcode:
 2022arXiv220207057C
 Keywords:

 Mathematics  Functional Analysis;
 46B03