On Uniform Homeomorphisms of the Unit Spheres of Certain Banach Lattices
Fouad Chaatit
Abstract
We prove that if X is an infinite dimensional Banach lattice with a weak unit then there exists a probability space (Omega, Sigma,mu) so that the unit sphere S(L1(Omega, Sigma, mu) is uniformly homeomorphic to the unit sphere S(X) if and only if X does not contain linftyn's uniformly.
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