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Rank one perturbations of 2-isometries

Functional Analysis 2025-08-14 v1

Abstract

In this paper, we investigate when a rank-one perturbation of a 22-isometry remains a 22-isometry. As an application, we identify several classes of 22-isometries on function spaces.

Keywords

Cite

@article{arxiv.2508.09701,
  title  = {Rank one perturbations of 2-isometries},
  author = {Rajkamal Nailwal},
  journal= {arXiv preprint arXiv:2508.09701},
  year   = {2025}
}

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9 pages