Introduction 1. Hyponormality of Toeplitz pairs with one coordinate a toeplitz operator with analytic polynomial symbol 2. Hyponormality of trigonometric Toeplitz pairs 3. The gap between 2-hyponormality and subnormality 4. Applications 5. Concluding remarks and open problems
Summary
Introduction Hyponormality of Toeplitz pairs with one coordinate a Toeplitz operator with analytic polynomial symbol Hyponormality of trigonometric Toeplitz pairs The gap between $2$-hyponormality and subnormality Applications Concluding remarks and open problems References List of symbols
