Automatic continuity of concave functions Academic Article uri icon


  • A necessary and sufficient condition is given that a semicontinuous, nonnegative, concave function on a finite dimensional closed convex set X X necessarily be continuous at a point x 0 X {x_0} in X . Application of this criterion at all points of X X yields a characterization, due to Gale, Klee and Rockafellar, of convex polyhedra in terms of continuity of their convex functions.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Howe, R.

citation count

  • 4

complete list of authors

  • Howe, Roger

publication date

  • January 1988