Square roots of some classical operators
Functional Analysis
2021-09-29 v1
Abstract
In this paper we give complete descriptions of the set of square roots of certain classical operators, often providing specific formulas. The classical operators included in this discussion are the square of the unilateral shift, the Volterra operator, certain compressed shifts, the unilateral shift plus its adjoint, the Hilbert matrix, and the Ces\`{a}ro operator.
Keywords
Cite
@article{arxiv.2109.13688,
title = {Square roots of some classical operators},
author = {Javad Mashreghi and Marek Ptak and William T. Ross},
journal= {arXiv preprint arXiv:2109.13688},
year = {2021}
}
Comments
25 pages with 2 figures