Separation of two convex sets by operators

Karl-Heinz Elster; Reinhard Nehse

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 1, page 191-206
  • ISSN: 0010-2628

How to cite

top

Elster, Karl-Heinz, and Nehse, Reinhard. "Separation of two convex sets by operators." Commentationes Mathematicae Universitatis Carolinae 019.1 (1978): 191-206. <http://eudml.org/doc/16894>.

@article{Elster1978,
author = {Elster, Karl-Heinz, Nehse, Reinhard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {191-206},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Separation of two convex sets by operators},
url = {http://eudml.org/doc/16894},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Elster, Karl-Heinz
AU - Nehse, Reinhard
TI - Separation of two convex sets by operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 1
SP - 191
EP - 206
LA - eng
UR - http://eudml.org/doc/16894
ER -

References

top
  1. BAIR J., Nouvelles propriétés des opérateurs algébriques dans un espace vectoriel, Bull. Soc. Roy. Sci. Liège 40 (1971), 214-223. (1971) Zbl0225.46017MR0301483
  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. (1970) Zbl0204.12902MR0276709
  4. BAIR J., JONGMANS F., La séparation vraie dans un espace vectoriel, Bull. Soc. Roy. Sci. Liége 41 (1972), 163-170. (1972) MR0308736
  5. BOURBAKI N., Espaces vectoriels topologiques;, Chapit. 1 et 2, Hermann, Paris 1966 (2. Aufl.). (1966) Zbl0145.37702MR0203425
  6. DUTFORD N., Schwartz J. T., Linear Operators I, Interscience, New York 1958. (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. (1974) MR0459509
  8. ELSTER K.-H., NEHSE R., Zur Trennung konvexer Mengen mittels linearer Operatoren, Math. Nachr. 71 (1976), 171-181. (1976) Zbl0291.90054MR0407563
  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. (1969) MR0394357
  10. KÖTHE G., Topologische lineare Räume I, Springer-Verlag, Berlin - Heidelberg - New York 1966 (2. Aufl.). (1966) MR0194863
  11. LEMPIO F., Separation und Optimierung in linearen Räumen, Dissertation, Univ. Hamburg 1971. (1971) 
  12. NEHSE R., The Hahn-Banach property and equivalent conditions, Comment. Math. Univ. Carolinae 19 (1978), 165-177. (1978) Zbl0373.46011MR0492379
  13. PERESSINI A. L., Ordered Topological Vector Spaces, Harper and Row Publ., New York etc. 1967. (1967) Zbl0169.14801MR0227731
  14. RIEDL J., Partially ordered locally convex vector spaces and extensions of positive continuous linear mappings, Math. Ann. 157 (1964), 95-124. (1964) Zbl0127.06403MR0169033
  15. VLACH M., A note on separation by linear mappings, Comment. Math. Uhiv. Carolinae 18 (1977), 167-168. (1977) Zbl0345.52001MR0433328
  16. VULICH B. Z., Vvedenie v teoriju poluporjadočennyeh prostranstv, Gosudarstv. Izd-vo fiz.-mat. Literatury, Moskau 1961. (1961) 

NotesEmbed ?

top

You must be logged in to post comments.