有界对称区域的Bergmann-Shilov边界

Mathematical Proceedings of the Royal Irish Academy Pub Date : 2021-08-31 DOI:10.3318/PRIA.2021.121.03

M. Mackey, P. Mellon

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引用次数: 2

摘要

．证明了有界对称定义域的边界上存在许多集，这些集决定了对边界有连续扩展的定义域上全纯函数的值和范数。我们提供了有限秩JB * -三元组的Bergmann-Shilov边界的一个类比。

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The Bergmann-Shilov boundary of a Bounded Symmetric Domain

. 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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Mathematical Proceedings of the Royal Irish Academy

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