On Schreier unconditional sequences
Edward Odell
Abstract
Let (xn) be a normalized weakly null sequence in a Banach space and let >0. We show that there exists a subsequence (yn) with the following property: if \ (ai)⊂eq \ and \ F⊂eq satisfies F |F| then \|Σi∈ F ai yi\| (2+) \| Σ aiyi\|\ .
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