Geometry of Banach spaces and biorthogonal systems Academic Article uri icon

abstract

  • 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.

publication date

  • December 2000