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The square roots of some classical operators

Volume 269 / 2023

Javad Mashreghi, Marek Ptak, William T. Ross 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.

Authors

  • Javad MashreghiDépartement de Mathématiques
    et de Statistique
    Université Laval
    Québec, QC, Canada, G1K 0A6
    e-mail
  • Marek PtakDepartment of Applied Mathematics
    University of Agriculture
    30-198 Kraków, Poland
    e-mail
  • William T. RossDepartment of Mathematics and Computer Science
    University of Richmond
    Richmond, VA 23173, USA
    e-mail

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