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DENTABILITY IN LOCALLY CONVEX SPACES

 

作者: Neill Robertson,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1991)
卷期: Volume 14, issue 1  

页码: 105-110

 

ISSN:1607-3606

 

年代: 1991

 

DOI:10.1080/16073606.1991.9631626

 

出版商: Taylor & Francis Group

 

关键词: 46A05;46B22

 

数据来源: Taylor

 

摘要:

LetAbe a non-empty bounded subset of a locally convex spaceE.We show that if all the separable subsets ofAare weakly metrisable, then the weak*-compact subsets ofE1satisfy geometrical conditions which are similar to the concept of “dentability” used to characterise the Radon-Nikodý Property in dual Banach spaces.

 

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