Proceedings of the American Mathematical Society

Author(s): Samir Adly; Emil Ernst; Michel Théra
Journal: Proc. Amer. Math. Soc. 132 (2004), 2911-2915.
MSC (2000): Primary 46N10, 47N10
Posted: May 12, 2004
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Abstract: The aim of this note is to characterize the norm-closure of the barrier cone of a closed convex set in an arbitrary normed linear space by means of a new geometric object, the temperate cone.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46N10, 47N10

Samir Adly
Affiliation: LACO, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges Cedex, France
Email: adly@unilim.fr

Emil Ernst
Affiliation: Laboratoire de Modélisation en Mécanique et Thermodynamique (LMMT), Casse 322, Faculté de Sciences et Techniques de Saint Jérome, Avenue Escadrille Normandie-Niemen 13397 Marseille Cedex 20, France
Email: Emil.Ernst@univ.u-3mrs.fr

Michel Théra
Affiliation: LACO, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges Cedex, France
Email: michel.thera@unilim.fr

DOI: 10.1090/S0002-9939-04-07492-1
PII: S 0002-9939(04)07492-1
Keywords: Fenchel conjugate, barrier cone, temperate cone, linearly bounded set, recession cone
Received by editor(s): July 15, 2002
Posted: May 12, 2004
Additional Notes: The third author's research was partially supported by the French Chilean Scientific Cooperation Programme ECOS under grant C00E05 and by NATO Collaborative Linkage Grant 978488.
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2004, American Mathematical Society

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