Mathematics Wiskunde

Tuesday 11 July 2023

The square roots of some classical operators

Speaker: Professor Marek Ptak, University of Agriculture in Kraków, Poland
Time: 11:00
Venue: Mathematics Division, Room 3001

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.

Anyone needing more information is welcome to contact Prof S. Mouton at smo@sun.ac.za.