paper

Power partial isometries

arXiv:2503.22707

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.

28 pages. Revised. Some new references added

Power partial isometries · wovepaper