UNIFORM KADEC-KLEE LORENTZ SPACES Lw,1 AND UNIFORMLY CONCAVE FUNCTIONS
نویسندگان
چکیده
We consider the notion of a uniformly concave function, using it to characterize those Lorentz spaces Lw,1 that have the weak-star uniform Kadec-Klee property as precisely those for which the antiderivative φ of w is uniformly concave; building on recent work of Dilworth and Hsu. We also derive a quite general sufficient condition for a twice-differentiable φ to be uniformly concave; and explore the extent to which this condition is necessary. Mathematics Subject Classification: Primary 46E; Secondary 46B.
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