The Bergmann-Shilov boundary of a Bounded Symmetric Domain

  title={The Bergmann-Shilov boundary of a Bounded Symmetric
  author={Michael Mackey and Pauline Mellon},
  journal={Mathematical Proceedings of the Royal Irish Academy},
  • M. Mackey, P. Mellon
  • Published 31 August 2021
  • Mathematics
  • Mathematical Proceedings of the Royal Irish Academy
We show that there are many sets in the boundary of a bounded symmetric domain that determine the values and norm of holomorphic functions on the domain having continuous extensions to the boundary. We provide an analogue of the Bergmann-Shilov boundary for finite rank JB∗-triples. 


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