On a question of Haskell P. Rosenthal
Functional Analysis
2007-05-23 v1
Abstract
We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of or . We also address an analogous problem for spreading models.
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Cite
@article{arxiv.math/0212166,
title = {On a question of Haskell P. Rosenthal},
author = {Valentin Ferenczi and Anna Maria Pelczar and Christian Rosendal},
journal= {arXiv preprint arXiv:math/0212166},
year = {2007}
}
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14 pages