| Title:
|
Separation of two convex sets by operators (English) |
| Author:
|
Elster, Karl-Heinz |
| Author:
|
Nehse, Reinhard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
1 |
| Year:
|
1978 |
| Pages:
|
191-206 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-00 |
| MSC:
|
46A20 |
| MSC:
|
46A40 |
| MSC:
|
46A99 |
| MSC:
|
52A05 |
| idZBL:
|
Zbl 0373.46010 |
| idMR:
|
MR0477685 |
| . |
| Date available:
|
2008-06-05T20:57:50Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105845 |
| . |
| Reference:
|
[1] BAIR J.: Nouvelles propriétés des opérateurs algébriques dans un espace vectoriel.Bull. Soc. Roy. Sci. Liège 40 (1971), 214-223. Zbl 0225.46017, MR 0301483 |
| Reference:
|
[2] BAIR J., ELSTER K.-H., NEHSE R.: A geometric version of the Hahn-Banach theorem.(to appear). |
| Reference:
|
[3] BAIR J., JONGMANS F.: Séparation franche dans un espace vectoriel.Bull. Soc. Roy. Sci. Liége 39 (1970), 474-477. Zbl 0204.12902, MR 0276709 |
| Reference:
|
[4] BAIR J., JONGMANS F.: La séparation vraie dans un espace vectoriel.Bull. Soc. Roy. Sci. Liége 41 (1972), 163-170. MR 0308736 |
| Reference:
|
[5] BOURBAKI N.: Espaces vectoriels topologiques;.Chapit. 1 et 2, Hermann, Paris 1966 (2. Aufl.). Zbl 0145.37702, MR 0203425 |
| Reference:
|
[6] DUTFORD N., Schwartz J. T.: Linear Operators I.Interscience, New York 1958. |
| Reference:
|
[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 0459509 |
| Reference:
|
[8] ELSTER K.-H., NEHSE R.: Zur Trennung konvexer Mengen mittels linearer Operatoren.Math. Nachr. 71 (1976), 171-181. Zbl 0291.90054, MR 0407563 |
| Reference:
|
[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 0394357 |
| Reference:
|
[10] KÖTHE G.: Topologische lineare Räume I.Springer-Verlag, Berlin - Heidelberg - New York 1966 (2. Aufl.). MR 0194863 |
| Reference:
|
[11] LEMPIO F.: Separation und Optimierung in linearen Räumen.Dissertation, Univ. Hamburg 1971. |
| Reference:
|
[12] NEHSE R.: The Hahn-Banach property and equivalent conditions.Comment. Math. Univ. Carolinae 19 (1978), 165-177. Zbl 0373.46011, MR 0492379 |
| Reference:
|
[13] PERESSINI A. L.: Ordered Topological Vector Spaces.Harper and Row Publ., New York etc. 1967. Zbl 0169.14801, MR 0227731 |
| Reference:
|
[14] RIEDL J.: Partially ordered locally convex vector spaces and extensions of positive continuous linear mappings.Math. Ann. 157 (1964), 95-124. Zbl 0127.06403, MR 0169033 |
| Reference:
|
[15] VLACH M.: A note on separation by linear mappings.Comment. Math. Uhiv. Carolinae 18 (1977), 167-168. Zbl 0345.52001, MR 0433328 |
| Reference:
|
[16] VULICH B. Z.: Vvedenie v teoriju poluporjadočennyeh prostranstv.Gosudarstv. Izd-vo fiz.-mat. Literatury, Moskau 1961. |
| . |
