Powers of posinormal operators
Functional Analysis
2022-02-22 v1
Abstract
Square of a posinormal operator is not necessarily posinormal But (i) powers of quasiposinormal operators are quasiposinormal and, under closed ranges assumption, powers of (ii) posinormal operators are posinormal, (iii) of operators that are both posinormal and coposinormal are posinormal and coposinormal, and (iv) of semi-Fredholm posinormal operators are posinormal.
Keywords
Cite
@article{arxiv.2202.09525,
title = {Powers of posinormal operators},
author = {C. S. Kubrusly and P. C. M. Vieira and J. Zanni},
journal= {arXiv preprint arXiv:2202.09525},
year = {2022}
}