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The Joly topology and the Mosco-Beer topology revisited

Published online by Cambridge University Press:  17 April 2009

Dominique Azé  and
Jean-Paul Penot
Dominique Azé
Affiliation:
Mathématiques, Université de Perpignan, 52 Av. de Villeneuve 66860 Perpignan Cedex, France
Jean-Paul Penot
Affiliation:
U.R.A. C.N.R.S. 1204 Faculté des Sciences, Av. de L'Universite, 64000 Pau, France
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Some extensions to the non reflexive case of continuity results for the Legendre-Fenchel transform are presented following an approach due to J.-L. Joly. We compare the topology introduced by J.-L. Joly and the Mosco-Beer topology introduced by G. Beer. In particular, in the case of the space of closed proper convex functions defined on the dual of a normed vector space they coincide.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 353 - 363
Copyright
Copyright © Australian Mathematical Society 1993

References

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