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.

Included in

Mathematics Commons

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