The Bergmann-Shilov boundary of a Bounded Symmetric Domain
نویسندگان
چکیده
We show that there are many sets in the boundary of a bounded symmetric domain determine values and norm holomorphic functions on having continuous extensions to boundary. provide an analogue Bergmann-Shilov for finite rank JB*-triples.
منابع مشابه
Geometry of the Shilov Boundary of a Bounded Symmetric Domain
In the first part, the theory of bounded symmetric domains is presented along two main approaches: as special cases of Riemannian symmetric spaces of the noncompact type on one hand, as unit balls in positive Hermitian Jordan triple systems on the other hand. In the second part, an invariant for triples in the Shilov boundary of such a domain is constructed. It generalizes an invariant construc...
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Royal Irish Academy
سال: 2021
ISSN: ['2009-0021', '1393-7197']
DOI: https://doi.org/10.1353/mpr.2021.0002