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On hypertropologies and the Young-Fenchel transform

DSpace at IIT Bombay

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Field Value
 
Title On hypertropologies and the Young-Fenchel transform
 
Creator PAI, DV
DESHPANDE, BM
 
Subject hyperspace topologies
uniformization
convergence
 
Description In this article a unified approach is presented to hypertopologies on collections of nonempty closed subsets of a Hausdorff uniform space generated by a saturated and separating family of pseudo-metrics. One identifies here a suitable topology on the family of proper, convex and lower semicontinuous functions defined on a Hausdorff locally convex space for which the Young Fenchel transform is bicontinuous. This improves a well known result due to Mosco, Joly and Beer.
 
Publisher MARCEL DEKKER INC
 
Date 2011-08-18T11:10:31Z
2011-12-26T12:55:43Z
2011-12-27T05:42:09Z
2011-08-18T11:10:31Z
2011-12-26T12:55:43Z
2011-12-27T05:42:09Z
2000
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 885-900
0163-0563
http://dx.doi.org/10.1080/01630560008816992
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9992
http://hdl.handle.net/10054/9992
 
Language en