UNIFORM KADEC-KLEE LORENTZ SPACES Lw,1 AND UNIFORMLY CONCAVE FUNCTIONS S. J. Dilworth and C. J. Lennard U. of South Carolina and U. of Pittsburgh

@inproceedings{Dilworth1999UNIFORMKL,
  title={UNIFORM KADEC-KLEE LORENTZ SPACES Lw,1 AND UNIFORMLY CONCAVE FUNCTIONS S. J. Dilworth and C. J. Lennard U. of South Carolina and U. of Pittsburgh},
  author={Stephen J. Dilworth and Chris Lennard},
  year={1999}
}
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… CONTINUE READING