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arXiv:math/9201219 [math.FA]AbstractReferencesReviewsResources

On quotients of Banach spaces having shrinking unconditional bases

Edward Odell

Published 1990-11-16Version 1

It is proved that if a Banach space $Y$ is a quotient of a Banach space having a shrinking unconditional basis, then every normalized weakly null sequence in $Y$ has an unconditional subsequence. The proof yields the corollary that every quotient of Schreier's space is $c_o$-saturated.

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