Erratum to: Nonseparable closed vector subspaces of separable topological vector spaces Academic Article uri icon


  • Thanks to e-mail from Stephen A. Saxon, we realized that the product \(E^{\mathfrak {c}}\) 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” …

publication date

  • January 1, 2017