Quotients of Banach spaces and surjectively universal spaces

Details Quotients of Banach spaces and surjectively universal spaces Quotients of Banach spaces and surjectively universal spaces

2010-06-14

arxiv.org/abs/1006.2665v1

Studia Mathematica 197 (2010), 171-194

Mathematics

Functional Analysis

23 pages, no figures

Scientific paper

We characterize those classes $\mathcal{C}$ of separable Banach spaces for
which there exists a separable Banach space $Y$ not containing $\ell_1$ and
such that every space in the class $\mathcal{C}$ is a quotient of $Y$.

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