Abstract:
In this paper, we introduce the infinite shadow associated to any convex set. This notion is interesting to study the marginal and asymptotic structure of unbounded convex sets wich are not open or closed.
Registro:
Documento: |
Artículo
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Título: | The infinite shadow of a convex set |
Autor: | Bair, J.; Hansen, G. |
Filiación: | Université de Liège, Universidad de Buenos Aires Universidad de Buenos Aires, Ciclo Básico Común, Cd. Univ. - Pabellón III, 1428 Buenos Aires, Argentina Université de Liège, Sart Tilman, Fac. d'Econ., Gestion Sci. Sociales, 7, Blvd. du Rectorat (Bat. B31), B-4000 Liège, Belgium
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Palabras clave: | Convex unbounded sets; Intersection property; Shadows |
Año: | 1996
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Volumen: | 65
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Número: | 6
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Página de inicio: | 407
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Página de fin: | 416
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Título revista: | Bulletin de la Societe Royale des Sciences de Liege
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Título revista abreviado: | Bull Soc R Sci Liege
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ISSN: | 00379565
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CODEN: | BSRSA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v65_n6_p407_Bair |
Referencias:
- Bair, J., Dupin, J.C., A Propos du Caractère Fermé de l'Enveloppe Conique, , to appear
- Bair, J., Fourneau, R., Etude géométrique des espaces vectoriels - Une introduction (1975) Lecture Notes in Mathematics, 483. , Springer-Verlag, Berlin-Heidelberg-New York
- Bair, J., Valein, J.L., A classification for non-linearly bounded convex sets (1993) Arch. Math., 61, pp. 576-583
- Brønsted, A., Intersections of translates of convex sets (1977) Mathematika, 24, pp. 122-129
- Brønsted, A., Barrier cones and intersections of translates of convex sets (1978) Arch. Math., 30, pp. 99-103
- Brønsted, A., More about intersections of translates of convex sets (1978) Arch. Math., 31, pp. 620-624
- Brønsted, A., Coquet, G., Dupin, J.C., Translatés d'ensembles convexes et propriété d'intersection (1979) Bull. Soc. Roy. Sc. Liège, 48, pp. 110-113
- Coquet, G., Dupin, J.C., Sur l'intersection des translatés d'ensembles convexes (1978) Bull. Soc. Roy. Sc. Liège, 47, pp. 299-306
- Coquet, G., Dupin, J.C., Jongmans, F., Sur l'intersection des translatés d'ensembles convexes (Addenda) (1978) Bull. Soc. Roy. Sc. Liège, 47, pp. 306-310
- Coquet, G., Dupin, J.C., Caractérisation des familles de cônes convexes possédant la propriété de l'intersection (1978) C. R. Acad. Sc. Paris, 287, pp. 407-408
- Jongmans, F., Cris et chuchotements des cônes (1980) Bull. Soc. Roy. Sc. Liège, 49, pp. 312-346
- Larman, D.G., On the inner aperture and intersections of convex sets (1974) Pacific J. Math., 55, pp. 219-232
- Rockafellar, R.T., (1970) Convex Analysis, , Princeton, New Jersey
- Stoer, J., Witzgall, Ch., (1970) Convexity and Optimization in Finite Dimensions I, , Springer-Verlag, Berlin-Heidelberg-New York
- Vangeldère, J., Séparation et propriété d'intersection relative (1980) Bull. Soc. Roy. Sc. Liège, 49, pp. 144-163
Citas:
---------- APA ----------
Bair, J. & Hansen, G.
(1996)
. The infinite shadow of a convex set. Bulletin de la Societe Royale des Sciences de Liege, 65(6), 407-416.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v65_n6_p407_Bair [ ]
---------- CHICAGO ----------
Bair, J., Hansen, G.
"The infinite shadow of a convex set"
. Bulletin de la Societe Royale des Sciences de Liege 65, no. 6
(1996) : 407-416.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v65_n6_p407_Bair [ ]
---------- MLA ----------
Bair, J., Hansen, G.
"The infinite shadow of a convex set"
. Bulletin de la Societe Royale des Sciences de Liege, vol. 65, no. 6, 1996, pp. 407-416.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v65_n6_p407_Bair [ ]
---------- VANCOUVER ----------
Bair, J., Hansen, G. The infinite shadow of a convex set. Bull Soc R Sci Liege. 1996;65(6):407-416.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v65_n6_p407_Bair [ ]