@article{AtzmonSodin1999,
  author = {Atzmon, Aharon and Sodin, Mikhail},
  title = {Completely indecomposable operators and a uniqueness theorem of {Cartwright--Levinson} type},
  journal = {Journal of Functional Analysis},
  volume = {169},
  number = {1},
  year = {1999},
  pages = {164--188},
  doi = {10.1006/jfan.1999.3454},
  note = {\url{https://doi.org/10.1006/jfan.1999.3454}}
}

@article{CKL2017,
  author = {Ch\={o}, Muneo and Ko, Eungil and Lee, Ji Eun},
  title = {{$(\infty,C)$}-isometric operators},
  journal = {Operators and Matrices},
  volume = {11},
  number = {3},
  year = {2017},
  pages = {793--806},
  doi = {10.7153/oam-11-56},
  note = {\url{https://doi.org/10.7153/oam-11-56}}
}

@article{Grabiner1982,
  author = {Grabiner, Sandy},
  title = {Unicellular shifts on {Banach} spaces},
  journal = {Journal of Operator Theory},
  volume = {8},
  number = {1},
  year = {1982},
  pages = {157--165},
  url = {https://jot.theta.ro/jot/archive/1982-008-001/1982-008-001-007.pdf},
  note = {\url{https://jot.theta.ro/jot/archive/1982-008-001/1982-008-001-007.pdf}}
}

@article{Domar1981,
  author = {Domar, Yngve},
  title = {Translation invariant subspaces of weighted {$l^p$} and {$L^p$} spaces},
  journal = {Mathematica Scandinavica},
  volume = {49},
  year = {1981},
  pages = {133--144},
  doi = {10.7146/math.scand.a-11926},
  url = {https://www.mscand.dk/article/view/11926},
  note = {\url{https://doi.org/10.7146/math.scand.a-11926}}
}

@article{DouglasPearcy1972,
  author = {Douglas, R. G. and Pearcy, C.},
  title = {Hyperinvariant subspaces and transitive algebras},
  journal = {Michigan Mathematical Journal},
  volume = {19},
  year = {1972},
  pages = {1--12},
  doi = {10.1307/mmj/1029000793},
  note = {\url{https://doi.org/10.1307/mmj/1029000793}}
}

@article{Kerchy2026,
  author = {K{\'e}rchy, L{\'a}szl{\'o}},
  title = {On Hyperinvariant Subspaces of Operators Containing Unilateral Shifts},
  journal = {Complex Analysis and Operator Theory},
  volume = {20},
  year = {2026},
  pages = {Paper No. 176},
  doi = {10.1007/s11785-026-02038-9},
  note = {\url{https://doi.org/10.1007/s11785-026-02038-9}}
}

@misc{KerchyPearcy2025Withdrawn,
  author = {K{\'e}rchy, L{\'a}szl{\'o} and Pearcy, Carl},
  title = {Hyperinvariant subspaces of block-triangular operators on {Hilbert} space},
  year = {2025},
  eprint = {2503.13005},
  archivePrefix = {arXiv},
  primaryClass = {math.FA},
  note = {\href{https://arxiv.org/abs/2503.13005}{arXiv:2503.13005}. Withdrawn, 29 March 2025},
  doi = {10.48550/arXiv.2503.13005}
}


@misc{CircleCompanion,
  author = {{OpenAI}},
  title = {{Invariant-projection counterexamples for every irrational rotation}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026/paper.pdf}{OAI:Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026}},
  year = {2026}
}

@article{Dykema2005,
  author = {Dykema, Ken},
  title = {Hyperinvariant subspaces for some {$B$}-circular operators},
  journal = {Mathematische Annalen},
  volume = {333},
  number = {3},
  year = {2005},
  pages = {485--523},
  doi = {10.1007/s00208-005-0669-8},
  note = {With an appendix by Gabriel Tucci. \url{https://doi.org/10.1007/s00208-005-0669-8}}
}


@article{Arveson1967,
  author = {Arveson, William B.},
  title = {A density theorem for operator algebras},
  journal = {Duke Mathematical Journal},
  volume = {34},
  year = {1967},
  pages = {635--647},
  doi = {10.1215/S0012-7094-67-03467-9},
  note = {\url{https://doi.org/10.1215/S0012-7094-67-03467-9}}
}