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We present and study commutative Banach algebras generated by Toeplitzoperators with generalized quasi-radial pseudo-homogeneous symbols acting onthe Bergman space over the unit ball. We develop the Gelfand theory of thesealgebras and give some structural information about them. In particular, weprovide a description of the radical of these algebras. This paper generalizesand completes the results from previous works related to Toeplitz operatorswith quasi-radial quasi-homogeneous symbols.

Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space