Correction to: Indefinite Abstract Splines with a Quadratic Constraint

Abstract

In the statement of Lemma 4.1 is incorrect. In fact, if the dimension of H is infinite it is always possible to find a sequence in CV which converges weakly to a vector not contained in CV , see Proposition 2.1 below. We apologize for this mistake. If the dimension of H is finite, Lemma 4.1 is not necessary to prove Theorem 4.1. In this erratum, we provide the correct statement for Theorem 4.1 for the finite dimensional case, as well as its proof.