The distortion of Hilbert space Academic Article uri icon


  • The unit sphere of Hilbert space, 2, is shown to contain a remarkable sequence of nearly orthogonal sets. Precisely, there exist a sequence of sets of norm one elements of 2, (Ci)i=1, and reals i0 so that a) each set Ci has nonempty intersection with every infinite dimensional closed subspace of 2 and b) for ij, xC, and yCj, |x, y|

published proceedings

  • Geometric and Functional Analysis

author list (cited authors)

  • Odell, E., & Schlumprecht, T. h.

citation count

  • 10

complete list of authors

  • Odell, E||Schlumprecht, Th

publication date

  • January 1993