Extensions of $c_0$

Details Extensions of $c_0$ Extensions of $c_0$

1996-12-27

arxiv.org/abs/math/9612209v1

Mathematics

Functional Analysis

Scientific paper

If $X$ is a closed subspace of a Banach space $L$ which embeds into a Banach
lattice not containing $\ell_\infty^n$'s uniformly and $L/X$ contains
$\ell_\infty^n$'s uniformly, then $X$ cannot have local unconditional
structure in the sense of Gordon-Lewis (GL-{\sl l.u.st.}).

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