Erratum to: Nonseparable closed vector subspaces of separable topological vector spaces (Monatshefte für Mathematik, (2017), 182, 1, (39-47), 10.1007/s00605-016-0876-2)

All our formal Theorems, Propositions, Corollaries, Examples are correct. One of our main results is Theorem 2 Let I be an index set and E_i an lcs for each i ∈ I . If at least c of the E_i are not in D(ℝ), or equivalently do not have the weak topology, then the product Π_i∈I E_i has a nonseparable closed vector subspace. However, some statements in the Abstract and elsewhere claim too much. Thanks to e-mail from Stephen A. Saxon, we realized that the product E^c may have a nonseparable closed vector subspace even when lcs E has the weak topology. Take E to be the lcs of our Example 1; then this E has the weak topology, is separable and contains a nonseparable closed vector subspace. Our erroneous claim appears after Problem 2, after Theorem 2, and in the Abstract. In particular, we have not given a complete answer to Problem 2. Also, in the last sentence of the fifth paragraph of the Introduction, “a compact X” should be replaced by “a separable compact X”.