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On uniform
homeomorphisms of the unit spheres of certain Banach
lattices
Fouad Chaatit |
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Vol. 168 (1995), No. 1, 11–31
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Abstract |
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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 of (L1(Ω,Σ,μ)) is uniformly homeomorphic to the unit sphere S(X) if and only if X does not contain l∞n’s uniformly. |
Mathematical Subject Classification 2000
Primary: 46B42
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Milestones
Received: 30 October 1992
Revised: 30 March 1993
Published: 1 March 1995
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Authors |
| Fouad Chaatit | |
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