Presentation Abstract

Fame 2026 Conference
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The square roots of some classical operators

Prof. Marek Ptak (University of Agriculture in Krakow, Poland , Poland)
Session: Dynamics of linear operators Talk
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.