Factoring weakly compact operators Academic Article uri icon

abstract

  • The main result is that every weakly compact operator between Banach spaces factors through a reflexive Banach space. Applications of the result and technique of proof include new results (e.g., separable conjugate spaces embed isomorphically in spaces with boundedly complete bases; convex weakly compact sets are affinely homeomorphic to sets in a reflexive space) and simple proofs of known results (e.g., there is a reflexive space failing the Banach-Saks property; if X is separable, then X = Z** Z for some Z; there is a separable space which does not contain l1 whose dual is nonseparable). © 1974.

author list (cited authors)

  • Davis, W. J., Figiel, T., Johnson, W. B., & Pelczynski, A.

citation count

  • 217

complete list of authors

  • Davis, WJ||Figiel, T||Johnson, WB||Pelczynski, A

publication date

  • November 1974