Geometry of Banach spaces and biorthogonal systems

Details Geometry of Banach spaces and biorthogonal systems Geometry of Banach spaces and biorthogonal systems

1999-11-20

arxiv.org/abs/math/9911156v1

Mathematics

Functional Analysis

Scientific paper

A separable Banach space X contains $\ell_1$ isomorphically if and only if X
has a bounded wc_0^*-stable biorthogonal system. The dual of a separable Banach
space X fails the Schur property if and only if X has a bounded
wc_0^*-biorthogonal system.

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