ON A QUESTION OF HASKELL P. ROSENTHAL CONCERNING A CHARACTERIZATION OF ${c}_{0}$ AND ${\ell}_{p}$
Published online by Cambridge University Press: 28 April 2004
Abstract
The following property of a normalized basis in a Banach space is considered: any normalized block sequence of the basis has a subsequence equivalent to the basis. Under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of $c_0$ or $\ell_p$. An analogous problem concerning spreading models is also addressed.
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- © The London Mathematical Society 2004
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