希尔伯特空间中的弱紧性和超凸性

Complex Variables, Theory and Application: An International Journal Pub Date : 2005-12-01 DOI:10.1080/02781070500284306

L. M. Hai, Nguyen Van Khue

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摘要

本文的目的是引入Banach空间中域的弱紧性和超凸性的概念，并建立它们之间的关系。此外，还给出了Hilbert空间中的平衡域和Banach空间中的Hartogs域是超凸的一些条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weak tautness and hyperconvexity in Hilbert spaces

The aim of this article is to introduce the notions of weak tautness and hyperconvexity of a domain in a Banach space and to establish the relation between them. Moreover, some conditions under which a balanced domain in a Hilbert space and a Hartogs domain in a Banach space are hyperconvex are also given.

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Complex Variables, Theory and Application: An International Journal

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