  We continue our study of outer elements of the noncommutative H^p spaces
associated with Arveson's subdiagonal algebras. We extend our generalized
inner-outer factorization theorem, and our characterization of outer elements,
to include the case of elements with zero determinant. In addition, we make
several further contributions to the theory of outers. For example, we
generalize the classical fact that outers in H^p actually satisfy the stronger
condition that there exist a_n in A with h a_n in Ball(A) and h a_n \to 1 in
p-norm.
