On quotients of Banach spaces having shrinking unconditional bases

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.

Cited by in corpus (1)

• On $c_0$-saturated Banach spaces