Commutative C ∗-algebras of Toeplitz operators on the unit ball , II . Geometry of the level sets of symbols

  title={Commutative C ∗-algebras of Toeplitz operators on the unit ball , II . Geometry of the level sets of symbols},
  author={Raul Quiroga-Barranco and Nikolai Vasilevski},
In the first part [16] of this work, we described the commutative C∗algebras generated by Toeplitz operators on the unit ball B whose symbols are invariant under the action of certain Abelian groups of biholomorphisms of B. Now we study the geometric properties of these symbols. This allows us to prove that the behavior observed in the case of the unit disk (see [3]) admits a natural generalization to the unit ball B. Furthermore we give a classification result for commutative Toeplitz operator… CONTINUE READING

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