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Density of algebras generated by Toeplitz operators on Bergman spaces

Density of algebras generated by Toeplitz operators on Bergman spaces

In this paper it is shown that Toeplitz operators on Bergman space form a dense subset of the space of all bounded linear operators, in the strong operator topology, and that their norm closure contains all compact operators. Further, the C*-algebra generated by them does not contain all bounded operators, …