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Weak convergence and weak compactness in the space of almost periodic functions on the real line

DSpace at IIT Bombay

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Title Weak convergence and weak compactness in the space of almost periodic functions on the real line
 
Creator BATT, J
DESHPANDE, MV
 
Subject almost periodic functions
weak convergence and weak compactness in spaces of continuous functions
 
Description We give necessary and sufficient conditions for sequences in the space AP(R) of continuous almost periodic functions on the real line to converge in the weak topology. The abstract results are illustrated by a number of examples which show that weak convergence seems to be a rare phenomenon. We also characterize the weakly compact subsets in AP(R), In particular, earlier statements made in the monograph by Dunford and Schwartz are refined and completed. We close with some open problems.
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T09:33:24Z
2011-12-26T12:53:49Z
2011-12-27T05:40:52Z
2011-08-02T09:33:24Z
2011-12-26T12:53:49Z
2011-12-27T05:40:52Z
1996
 
Type Article
 
Identifier PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 106(1), 1-11
0253-4142
http://dx.doi.org/10.1007/BF02837183
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8747
http://hdl.handle.net/10054/8747
 
Language en