Norm-closure of the barrier cone in normed linear spaces
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- by Samir Adly, Emil Ernst and Michel Théra PDF
- Proc. Amer. Math. Soc. 132 (2004), 2911-2915 Request permission
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.References
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Additional Information
- 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
- Received by editor(s): July 15, 2002
- Published electronically: 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 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2911-2915
- MSC (2000): Primary 46N10, 47N10
- DOI: https://doi.org/10.1090/S0002-9939-04-07492-1
- MathSciNet review: 2063110