Geometry of Banach spaces and biorthogonal systems
classification
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banachbiorthogonalboundedonlyseparablespacesystemcontains
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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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