On equivalences concerning the separation of several convex cones

Jacques Bair; Joseph Vangeldère

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 3, page 535-549
  • ISSN: 0010-2628

How to cite

top

Bair, Jacques, and Vangeldère, Joseph. "Équivalences concernant la séparation de plusieurs cônes convexes." Commentationes Mathematicae Universitatis Carolinae 021.3 (1980): 535-549. <http://eudml.org/doc/17056>.

@article{Bair1980,
author = {Bair, Jacques, Vangeldère, Joseph},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {separation; cone; intersection on convex sets},
language = {fre},
number = {3},
pages = {535-549},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Équivalences concernant la séparation de plusieurs cônes convexes},
url = {http://eudml.org/doc/17056},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Bair, Jacques
AU - Vangeldère, Joseph
TI - Équivalences concernant la séparation de plusieurs cônes convexes
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 3
SP - 535
EP - 549
LA - fre
KW - separation; cone; intersection on convex sets
UR - http://eudml.org/doc/17056
ER -

References

top
  1. BAIR J., Séparation d'ensembles dans un espace vectoriel, dissertation doctorale, Université de Liège, 1974. (1974) 
  2. BAIR J., A propos d'un problème de Klee sur la séparation de plusieurs ensembles, Math. Scand. 38 (1976), 341-349. (1976) Zbl0335.46001MR0423191
  3. BAIR J., FOURNEAU R., Etude géométrique des espaces vectoriels - une introduction, Lecture Notes in Math., vol. 489, Springer, Berlin - Heidelberg - New York, 1975. (1975) Zbl0334.50001MR0493253
  4. BAIR J., FOURNEAU R., Etude géométrique des espaces vectoriels II - polyèdres et polytopes convexes, éd. ronéotypée, Université de Liège, 1976. (1976) MR0580802
  5. BRAGARD L., VANGELDERE J., Points efficaces en programmation à objectifs multiples, Bull. Soc. Roy. Se. Liège 46 (1977), 27-41. (1977) Zbl0365.90124MR0452685
  6. BOLT'YANSKII V. G., The separation property of a system of convex cones, Izv. Akad. Nauk. Armyan SSR, 7 (1972), 250-257. (1972) MR0331218
  7. BOLT'YANSKII V. G., The method of tents in the theory of extremal problems, Russian Math. Survey, 30 (1975), 1-54. (1975) MR0445371
  8. COQUET G., DUPIN J.C., Sur l'intersection des translatés d'ensembles convexes, Bull. Soc. Roy. Se. Liège, 47 (1978), 299-306. (1978) Zbl0412.52002MR0535371
  9. DEUMLICH R., ELSTER K. H., NEHSE R., Recent results on separation of convex sets, Math. Operat. 9 (1978), 273-296. (1978) Zbl0399.52001MR0506930
  10. GALE D., Separation theorems for families of convex sets, Bull. Amer. Math. Soc. 59 (1953), 556. (1953) 
  11. VANGELDERE J., Propriété de l'intersection en dimension quelconque, à paraître. Zbl0434.52001
  12. VLACH M., A separation theorem for finite families, Comment. Math. Univ. Carolinae 12 (1971), 655-660. (1971) Zbl0229.52008MR0290126
  13. VLACH M., A concept of separation for families of sets, Ek. Mat. Obzor 12 (1976), 316-324. (1976) Zbl0349.90078MR0461296

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.