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TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY

 

作者: M.I. Ostrovskii,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1994）
卷期: Volume 17, issue 3  

页码: 259-319

 

ISSN:1607-3606

 

年代: 1994

 

DOI:10.1080/16073606.1994.9631766

 

出版商: Taylor & Francis Group

 

关键词: 46B03;46B20;46B04;47A05;Banach Space;Opening between Subspaces;Gap between Subspaces

 

数据来源: Taylor

 

摘要:

The survey is devoted to two of the most common topologies on the set of all subspaces of a Banach space. The first part contains definitions of the topologies and a description of their properties. The main topics of the rest of the paper are: (1) Comparison of the introduced topologies; (2) Stability of properties of subspaces with respect to the topologies. The last section contains a list of open problems

 

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