On Uniform Homeomorphisms of the Unit Spheres of Certain Banach Lattices

نویسنده

  • F. Chaatit
چکیده

We prove that if X is an infinite dimensional Banach lattice with a weak unit then there exists a probability space (Ω,Σ, μ) so that the unit sphere S(L1(Ω,Σ, μ) is uniformly homeomorphic to the unit sphere S(X) if and only if X does not contain l ∞’s uniformly.

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تاریخ انتشار 1995