Conditions for hyponormality and invertibility of scaled sums of Toeplitz operators are studied, including the linear-functional symbol case.
Hyponormality of the sum of Toeplitz operators with non-harmonic symbol on the Fock space.Operators and Matrices, 18(1):147–162
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Hyponormality of the sum of two Toeplitz operators
Conditions for hyponormality and invertibility of scaled sums of Toeplitz operators are studied, including the linear-functional symbol case.