  In the authors' first paper, Beurling-Rudin-Korenbljum type characterization
of the closed ideals in a certain algebra of holomorphic functions was used to
describe the lattice of invariant subspaces of the shift plus a complex
Volterra operator. Current work is an extension of the previous work and it
describes the lattice of invariant subspaces of the shift plus a positive
integer multiple of the complex Volterra operator on the Hardy space. Our work
was motivated by a paper by Ong who studied the real version of the same
operator.
