Hyponormal block Toeplitz operators T_Φ with analytic symbol Φ (Φ* of bounded type) have finite-rank self-commutators if and only if a finite Blaschke-Potapov product belongs to the set E of the modified symbol ~Φ.
Ifantis: Minimal uncertainty states for bounded observables, J
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Hyponormal block Toeplitz operators with finite rank self-commutators
Hyponormal block Toeplitz operators T_Φ with analytic symbol Φ (Φ* of bounded type) have finite-rank self-commutators if and only if a finite Blaschke-Potapov product belongs to the set E of the modified symbol ~Φ.