English

Partially isometric matrices: a brief and selective survey

Functional Analysis 2019-03-29 v1 Operator Algebras

Abstract

We survey a variety of results about partially isometric matrices. We focus primarily on results that are distinctly finite-dimensional. For example, we cover a recent solution to the similarity problem for partial isometries. We also discuss the unitary similarity problem and several other results.

Keywords

Cite

@article{arxiv.1903.11648,
  title  = {Partially isometric matrices: a brief and selective survey},
  author = {Stephan Ramon Garcia and Matthew Okubo Patterson and William T. Ross},
  journal= {arXiv preprint arXiv:1903.11648},
  year   = {2019}
}

Comments

30 pages

R2 v1 2026-06-23T08:21:25.804Z