Shellable weakly compact subsets of C[0,1] Articles uri icon

authors

  • LOPEZ-ABAD, J.
  • TRADACETE PEREZ, PEDRO

publication date

  • April 2017

start page

  • 1777

end page

  • 1790

issue

  • 3-4

volume

  • 367

International Standard Serial Number (ISSN)

  • 0025-5831

Electronic International Standard Serial Number (EISSN)

  • 1432-1807

abstract

  • We show that for every weakly compact subset K of C[0, 1] with finite Cantor-Bendixson rank, there is a reflexive Banach lattice E and an operator such that . On the other hand, we exhibit an example of a weakly compact set of C[0, 1] homeomorphic to for which such T and E cannot exist. This answers a question of M. Talagrand in the 80's.

keywords

  • reflexive banach-lattices; operators; factorization