Invariant subspaces of the shift plus complex Volterra operator

Abstract

The lattice of closed invariant subspaces of the Volterra operator acting on L2(0,1) was completely described by Sarason. On the other hand, he explicitly found the lattice of closed invariant subspaces of the shift plus Volterra operator on L2(0,1). Inspired by Sarason's results, we find the lattice of closed invariant subspaces of the shift plus complex Volterra operator acting on the Hardy space

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