On hypertropologies and the Young-Fenchel transform
DSpace at IIT Bombay
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Title |
On hypertropologies and the Young-Fenchel transform
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Creator |
PAI, DV
DESHPANDE, BM |
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Subject |
hyperspace topologies
uniformization convergence |
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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.
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Publisher |
MARCEL DEKKER INC
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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 |
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Type |
Article
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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 |
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Language |
en
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