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arXiv · 1808.03416

Infinite dimensional holomorphic homogeneous regular domains

Cho-Ho Chu·Kang-Tae Kim·Sejun Kim
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Abstract

We extend the concept of a finite dimensional {\it holomorphic homogeneous regular} (HHR) domain and some of its properties to the infinite dimensional setting. In particular, we show that infinite dimensional HHR domains are domains of holomorphy and determine completely the class of infinite dimensional bounded symmetric domains which are HHR. We compute the greatest lower bound of the squeezing function of all HHR bounded symmetric domains, including the two exceptional domains. We also show that uniformly elliptic domains in Hilbert spaces are HHR.

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Cho-Ho Chu, Kang-Tae Kim, Sejun Kim. 2018-08-10. Infinite dimensional holomorphic homogeneous regular domains. https://arxiv.org/abs/1808.03416

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