A description of Hilbert C*-modules in which all closed submodules are orthogonally closed

Let A, B be C*-algebras and E a full Hilbert A-B-bimodule such that every c losed right submodule E-0 subset of or equal to E is orthogonally closed, i .e., E-0 = (E-0(perpendicular to))(perpendicular to). Then there are famili es of Hilbert spaces {H-i}, {V-i} such that A and B are isomorphic to c(0)- direct sums Sigma K(V-i), resp. Sigma K{H-i}, and E is isomorphic to the ou ter direct sum Sigma(0)K (H-i,H- V-i).