English

Classification of squared normal operators on unitary and Euclidean spaces

Representation Theory 2011-12-19 v1

Abstract

We give a canonical form for a complex matrix, whose square is normal, under transformations of unitary similarity as well as a canonical form for a real matrix, whose square is normal, under transformations of orthogonal similarity.

Keywords

Cite

@article{arxiv.0710.0954,
  title  = {Classification of squared normal operators on unitary and Euclidean spaces},
  author = {Vyacheslav Futorny and Roger A. Horn and Vladimir V. Sergeichuk},
  journal= {arXiv preprint arXiv:0710.0954},
  year   = {2011}
}

Comments

9 pages; this is the English translation of the paper that was accepted for publication in Fundam. Prikl. Mat

R2 v1 2026-06-21T09:26:34.637Z