On a question of Haskell P. Rosenthal

Details On a question of Haskell P. Rosenthal On a question of Haskell P. Rosenthal

2002-12-11

arxiv.org/abs/math/0212166v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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 $c_0$ or $\ell_p$. We
also address an analogous problem for spreading models.

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