Title of article
The AR-property in linear metric spaces
Author/Authors
Khamsi، نويسنده , , Mohamed A. and Nguyen، نويسنده , , Nhu and Valdez-Sanchez، نويسنده , , Luis، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2001
Pages
18
From page
267
To page
284
Abstract
Roberts constructed a linear metric space which contains a compact convex set without any extreme points. The space constructed by Roberts is complicated and special.
estigate the topological property of Robertsʹ example and demonstrate that the linear metric space constructed by Roberts is an AR, therefore is homeomorphic to Hilbert space.
Keywords
Extreme point , Linear metric space , AR-property , Hilbert space
Journal title
Topology and its Applications
Serial Year
2001
Journal title
Topology and its Applications
Record number
1579677
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