Some Properties of the Full Function Space and the Substitution Space
Received:February 22, 2010  Revised:October 03, 2010
Key Words: full function space   substitution space   weakly sequentially complete   bounded complete   property $(u)$.  
Fund Project:Supported by Specific Academic Discipline Project of Shanghai Municipal Education Commission (Grant No.A-3500-11-10).
Author NameAffiliation
Zi Hou ZHANG College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, P. R. China 
Cun Yan LIU College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, P. R. China；Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China 
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Abstract:
      In this paper, an equivalent relation among the reflexivity, weak sequential completeness and bounded completeness in full function space is given. Some results on weakly sequential compactness of subset and the property $(u)$ in substitution spaces are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.015
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