Fonf

Vladimir Fonf : Polyhedral Banach Spaces


  1. Definition. Criterions.
  2. Structure of the unit sphere of a polyhedral Banach space (there exists the minimal boundary which cardinality is equil to the density character of the space).
  3. Banach space with a countable boundary isomorphic to a polyhedral space.
  4. Each polyhedral space saturated by c_0 (isomorphicaly).
  5. Approximation of convex bodies by polytopes.
  6. Polyhedral Lindenstrauss spaces (extension of compact operators).
  7. Tilings of polyhedral spaces.