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On quotients of Banach spaces having shrinking unconditional bases

Edward Odell
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Abstract

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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Edward Odell. 1990-11-16. On quotients of Banach spaces having shrinking unconditional bases. https://arxiv.org/abs/math/9201219

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