Power partial isometries
Functional Analysis
2025-05-06 v2 Complex Variables
Operator Algebras
Abstract
In this paper we obtain a complete characterization of reducing, invariant, and hyperinvariant subspaces for the completely non-unitary component of a power partial isometry. In particular, precise characterization of reducing, invariant, and hyperinvariant subspaces of a truncated shift operator has been achieved.
Cite
@article{arxiv.2503.22707,
title = {Power partial isometries},
author = {Kritika Babbar and Amit Maji},
journal= {arXiv preprint arXiv:2503.22707},
year = {2025}
}
Comments
28 pages. Revised. Some new references added