  Answering a question raised by S. Friedland, we show that the possible
eigenvalues of Hermitian matrices (or compact operators) A, B, and C with C <=
A + B are given by the same inequalities as in Klyachko's theorem for the case
where C = A + B, except that the equality corresponding to tr(C) = tr(A) +
tr(B) is replaced by the inequality corresponding to tr(C) <= tr(A) + tr(B).
The possible types of finitely generated torsion modules A, B, and C over a
discrete valuation ring such that there is an exact sequence B -> C -> A are
characterized by the same inequalities.
