DOI
10.4064/sm210928-19-9
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 Cesàro operator.
Document Type
Article
Publication Date
2023
Publisher Statement
Studia Mathematica
ISSN: 0039-3223(p) 1730-6337(e)
The journal was founded by Stefan Banach and Hugo Steinhaus in 1929. Following the established tradition, it publishes high quality papers in functional analysis, abstract methods of mathematical analysis, dynamical systems and probability theory. Usually three issues constitute a volume.
Authors retain the right to distribute their author accepted manuscript under a CC-BY license.
Recommended Citation
Ross, W. T., Ptak, M., & Mashreghi, J. (2023). Square roots of some classical operators. Studia Mathematica, 269.