The Bergmann-Shilov boundary of a bounded symmetric domain

Published 31 Aug 2021 in math.CV, math.FA, and math.OA | (2109.00085v2)

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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