A best approximation property of the generalized spline functions.
A characterization of strictly convex metric linear spaces.
A note on best approximation and invertibility of operators on uniformly convex Banach spaces.
A note on generalized projections in c₀
Let V ⊂ Z be two subspaces of a Banach space X. We define the set of generalized projections by . Now let X = c₀ or , Z:= kerf for some f ∈ X* and (n < m). The main goal of this paper is to discuss existence, uniqueness and strong uniqueness of a minimal generalized projection in this case. Also formulas for the relative generalized projection constant and the strong uniqueness constant will be given (cf. J. Blatter and E. W. Cheney [Ann. Mat. Pura Appl. 101 (1974), 215-227] and G. Lewicki...
Approximation in metric linear spaces
Approximation of symmetric convex bodies.