EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES Academic Article uri icon

abstract

  • Let X be an infinite-dimensional uniformly smooth Banach space. We prove that X contains an infinite equilateral set. That is, there exist a constant > 0 and an infinite sequence xi)i= 1O X such that xi - xj = λ for all i≠ = j. © University College London.

author list (cited authors)

  • Freeman, D., Odell, E., Sari, B., & Schlumprecht, T. h.

citation count

  • 3

publication date

  • January 2014

publisher