Randomized trial characterizes skew-commutativity in toeplitz operators on the unit disk, suggesting stricter conditions than commutativity.
We study the skew-commutativity of Toeplitz operators and dual Toeplitz operators on the Bergman space of the unit disk. For bounded harmonic symbols, we characterize when two Toeplitz operators are skew-commuting. For general bounded measurable symbols, we give necessary and sufficient conditions for the skew-commutativity of dual Toeplitz operators. Our results characterize skew-commutativity in both settings and show that the conditions are more restrictive than in the commutative case.
No takes yet. Share an insight, caveat, or question.
Ma et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: