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Invariant subspaces of the shift plus complex Volterra operator

Complex Variables 2017-06-16 v1 Functional Analysis

Abstract

The lattice of closed invariant subspaces of the Volterra operator acting on L2(0,1)L^2(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)L^2(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

Keywords

Cite

@article{arxiv.1501.05985,
  title  = {Invariant subspaces of the shift plus complex Volterra operator},
  author = {Željko Čučković and Bhupendra Paudyal},
  journal= {arXiv preprint arXiv:1501.05985},
  year   = {2017}
}

Comments

The article has been accepted for publication in the Journal of Mathematical Analysis and Applications

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