The commutator i[arctan(P), arctan(Q)] is nonnegative with trace pi/2, disproving the Kato conjecture.
Kato,Positive commutatorsi[f(P),g(Q)], J
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A counterexample to the Kato conjecture for positive commutators
The commutator i[arctan(P), arctan(Q)] is nonnegative with trace pi/2, disproving the Kato conjecture.