Geometry of Banach spaces and biorthogonal systems
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A separable Banach space x contains ℓ1 isomorphically if and only if x has a bounded fundamental total 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 fundamental total wc*0-biorthogonal system.
author list (cited authors)
Dilworth, S. J., Girardi, M., & Johnson, W. B.