- MATHEMATISCHE ANNALEN Journal
- April 2017
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- 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.
- reflexive banach-lattices; operators; factorization