HANKEL OPERATORS, INVARIANT SUBSPACES, AND CYCLIC VECTORS IN THE DRURY-ARVESON SPACE

We show that every nonzero invariant subspace of the Drury-Arveson space H-d(2) of the unit ball of C-d is an intersection of kernels of little Hankel operators. We use this result to show that if f and 1/f is an element of H-d(2), then f is cyclic in H-d(2).