The Bergmann-Shilov boundary of a bounded symmetric domain
Complex Variables
2022-07-27 v2 Functional Analysis
Operator Algebras
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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@article{arxiv.2109.00085,
title = {The Bergmann-Shilov boundary of a bounded symmetric domain},
author = {Michael Mackey and Pauline Mellon},
journal= {arXiv preprint arXiv:2109.00085},
year = {2022}
}
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