On the unconditional subsequence property
نویسندگان
چکیده
منابع مشابه
On the unconditional subsequence property
We show that a construction of Johnson, Maurey and Schechtman leads to the existence of a weakly null sequence (fi) in ( ∑ Lpi ) 2 , where pi ↓ 1, so that for all ε > 0 and 1 < q 2, every subsequence of (fi) admits a block basis (1+ ε)-equivalent to the Haar basis for Lq . We give an example of a reflexive Banach space having the unconditional subsequence property but not uniformly so. Publishe...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2010
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.07.015