Gateaux differentiable norms in \(L_ p\)
If p is odd and if m is a finite measure, then \(L_ p(m)\) admits an equivalent p times Gateaux differentiable norm. In \(\ell_ p(A)\), p odd, A uncountable, there is no p times Gateaux differentiable equivalent norm.
equivalent p times Gateaux differentiable norm
scientific article; zbMATH DE number 4105605