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 Cesaro operator.
Joint work with Javad Mashreghi, William T. Ross. Based on the paper Studia Mathematica, 269(2023), 107-119.
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