-convexity and best approximation.
Mapping in normed linear spaces and characterization of orthogonality problem of best approximations in 2-norm.
Meilleure approximation en norme vectorielle et minima de Pareto
Meilleure approximation en norme vectorielle et théorie de la localisation
Meilleures approximations et médianes conditionnelles
Methods for computing the least deviation from the sums of functions of one variable.
Metric projections and best approximants in Bochner-Orlicz spaces.
In the first section of this paper there are given criteria for strict convexity and smoothness of the Bochner-Orlicz space with the Orlicz norm as well as the Luxemburg norm. In the second one that geometrical properties are applied to the characterization of metric projections and zero mean valued best approximants to Bochner-Orlicz spaces.
Metric projections of closed subspaces of c₀ onto subspaces of finite codimension
Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.
M-Ideals of Compact Operators.