Geodesic
Separation of two convex sets by operators
Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 1, pp. 191-206 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 46-00, 46A20, 46A40, 46A99, 52A05 
@article{CMUC_1978_19_1_a18,
     author = {Elster, Karl-Heinz and Nehse, Reinhard},
     title = {Separation of two convex sets by operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {191--206},
     year = {1978},
     volume = {19},
     number = {1},
     mrnumber = {0477685},
     zbl = {0373.46010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1978_19_1_a18/}
}
TY  - JOUR
AU  - Elster, Karl-Heinz
AU  - Nehse, Reinhard
TI  - Separation of two convex sets by operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1978
SP  - 191
EP  - 206
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1978_19_1_a18/
LA  - en
ID  - CMUC_1978_19_1_a18
ER  - 
%0 Journal Article
%A Elster, Karl-Heinz
%A Nehse, Reinhard
%T Separation of two convex sets by operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 1978
%P 191-206
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1978_19_1_a18/
%G en
%F CMUC_1978_19_1_a18
Elster, Karl-Heinz; Nehse, Reinhard. Separation of two convex sets by operators. Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 1, pp. 191-206. http://geodesic.mathdoc.fr/item/CMUC_1978_19_1_a18/

[1] BAIR J.: Nouvelles propriétés des opérateurs algébriques dans un espace vectoriel. Bull. Soc. Roy. Sci. Liège 40 (1971), 214-223. | MR | Zbl

[2] BAIR J., ELSTER K.-H., NEHSE R.: A geometric version of the Hahn-Banach theorem. (to appear).

[3] BAIR J., JONGMANS F.: Séparation franche dans un espace vectoriel. Bull. Soc. Roy. Sci. Liége 39 (1970), 474-477. | MR | Zbl

[4] BAIR J., JONGMANS F.: La séparation vraie dans un espace vectoriel. Bull. Soc. Roy. Sci. Liége 41 (1972), 163-170. | MR

[5] BOURBAKI N.: Espaces vectoriels topologiques. Chapit. 1 et 2, Hermann, Paris 1966 (2. Aufl.). | MR | Zbl

[6] DUTFORD N., Schwartz J. T.: Linear Operators I. Interscience, New York 1958.

[7] ELSTER K.-H.: Einige Separations theorems über konvexe Mengen. IV. Konference o matematických metódách v ekonomii, Harmónia, 1974, EML EU ČSAV, VP c. 40, Praha 1975, 157-167. | MR

[8] ELSTER K.-H., NEHSE R.: Zur Trennung konvexer Mengen mittels linearer Operatoren. Math. Nachr. 71 (1976), 171-181. | MR | Zbl

[9] KLEE V.: Separation and support properties of convex sets - a survey. in: Balakrishnan A. V. (Ed.): Control Theory and the Calculus of Variations, Academic Press, New York etc. 1969, 235-303. | MR

[10] KÖTHE G.: Topologische lineare Räume I. Springer-Verlag, Berlin - Heidelberg - New York 1966 (2. Aufl.). | MR

[11] LEMPIO F.: Separation und Optimierung in linearen Räumen. Dissertation, Univ. Hamburg 1971.

[12] NEHSE R.: The Hahn-Banach property and equivalent conditions. Comment. Math. Univ. Carolinae 19 (1978), 165-177. | MR | Zbl

[13] PERESSINI A. L.: Ordered Topological Vector Spaces. Harper and Row Publ., New York etc. 1967. | MR | Zbl

[14] RIEDL J.: Partially ordered locally convex vector spaces and extensions of positive continuous linear mappings. Math. Ann. 157 (1964), 95-124. | MR | Zbl

[15] VLACH M.: A note on separation by linear mappings. Comment. Math. Uhiv. Carolinae 18 (1977), 167-168. | MR | Zbl

[16] VULICH B. Z.: Vvedenie v teoriju poluporjadočennyeh prostranstv. Gosudarstv. Izd-vo fiz.-mat. Literatury, Moskau 1961.