The square roots of some classical operators
Volume 269 / 2023
Studia Mathematica 269 (2023), 83-106
MSC: Primary 46E20; Secondary 47B37.
DOI: 10.4064/sm210928-19-9
Published online: 8 November 2022
Abstract
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.
