EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES Academic Article

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 = for all i = j. University College London.

authors

• Schlumprecht, Thomas

published proceedings

• Mathematika

author list (cited authors)

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

citation count

• 3

complete list of authors

• Freeman, D||Odell, E||Sari, B||Schlumprecht, Th

publication date

• January 2014

publisher

• Wiley  Publisher

published in

• Mathematika: a journal of pure and applied mathematics  Journal

Digital Object Identifier (DOI)

• 10.1112/s0025579313000260

start page

• 219

end page

• 231

volume

• 60

issue

• 1

URL

• http://dx.doi.org/10.1112/s0025579313000260