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Invariant subspaces of the shift plus complex Volterra operator (1501.05985v1)

Published 24 Jan 2015 in math.CV and math.FA

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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