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arXiv · 2109.00085

The Bergmann-Shilov boundary of a bounded symmetric domain

Michael Mackey·Pauline Mellon
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Abstract

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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Michael Mackey, Pauline Mellon. 2021-08-31. The Bergmann-Shilov boundary of a bounded symmetric domain. https://doi.org/10.3318/pria.2021.121.03

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