Weak spectral equivalence and weak spectral convergence
Weighted approximation and slice products of modules of continuous functions
Weighted Chebyshev approximation on a compact Hausdorff space.
When some variational properties force convexity
The notion of adequate (resp. strongly adequate) function has been recently introduced to characterize the essentially strictly convex (resp. essentially firmly subdifferentiable) functions among the weakly lower semicontinuous (resp. lower semicontinuous) ones. In this paper we provide various necessary and sufficient conditions in order that the lower semicontinuous hull of an extended real-valued function on a reflexive Banach space is essentially strictly convex. Some new results on nearest...