EIGENVALUES OF POSITIVE CURRENTS OF BIDEGREE (1,1)

For a positive current T = i Sigma T-jk dz(j) Lambda d (z) over bar(k) of bidegree (1, 1) on a domain Omega subset of C-n, we consider measu res Lambda(k) [T] on Omega that are the eigenvalues of the Hermitian f orm (T-jk). We show that the operators Lambda(k) : T --> Lambda(k)[T] are not continuous even on closed positive currents T in spite of cont inuity of Sigma(k) Lambda(k). (C) Academie des Sciences/Elsevier, Pari s.