  We close a gap appearing at the same time in the author's thesis "Iterated
rings of bounded elements and generalizations of Schm\"udgen's theorem" [1] and
in the author's article "Iterated rings of bounded elements and generalizations
of Schm\"udgen's Positivstellensatz" [2].
  [1] Universit\"at Konstanz (2001), available at
http://www.ub.uni-konstanz.de/kops/volltexte/2002/825/
  [2] Journal f\"ur die reine und angewandte Mathematik 554, 19-45 (2003)
