On the decomposition of a vector space in the sum of a convex set and a subspace

Jacques Bair

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 2, page 345-352
  • ISSN: 0010-2628

How to cite

top

Bair, Jacques. "On the decomposition of a vector space in the sum of a convex set and a subspace." Commentationes Mathematicae Universitatis Carolinae 028.2 (1987): 345-352. <http://eudml.org/doc/17549>.

@article{Bair1987,
author = {Bair, Jacques},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Minkowski sum; decomposition; orthogonal subspace; real vector space; convex set},
language = {eng},
number = {2},
pages = {345-352},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the decomposition of a vector space in the sum of a convex set and a subspace},
url = {http://eudml.org/doc/17549},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Bair, Jacques
TI - On the decomposition of a vector space in the sum of a convex set and a subspace
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 2
SP - 345
EP - 352
LA - eng
KW - Minkowski sum; decomposition; orthogonal subspace; real vector space; convex set
UR - http://eudml.org/doc/17549
ER -

References

top
  1. J. BAIR, A geometric description of the inner aperture of a convex set, Acta Math. Sc. Hung. 38 (1981), 237-240. (1981) Zbl0483.52002MR0647343
  2. J. BAIR, Liens entre le cône d'ouverture interne et l'internat du cône asymptotique d'un convexe, Bull. Soc. Math. Belgique XXXV (1983), 177-187. (1983) Zbl0573.52005MR0731806
  3. J. BAIR, Quelques questions soulevées par le cône barrière d'un convexe, Comment. Math. Univ. Carolinae 24 (1983), 731-740. (1983) Zbl0573.52006MR0738567
  4. J. BAIR, Structure asymptotique et propriétés de séparation en géométrie convexe, Université de Liège (Faculté des Sciences), 1984. (1984) 
  5. J. BAIR R. FOURNEAU, Etude géométrique des espaces vectoriels - une introduction, Lecture Notes in Mathematics 489, Springer-Verlag, Berlin - Heidelberg - New York, 1975. (1975) MR0493253
  6. C. GERSTEWITZ E. IWANOW, Dualität für nichtkonvexe Vektoroptimierungs-probleme, Wiss. Z. th. Ilmenau 31 (1985), 61-81. (1985) MR0806361
  7. F. JONGMANS, Sur les complications d'une loi de simplification dans les espaces vectoriels, Bull. Soc. Roy. Se. Liège 42 (1973), 529-534. (1973) Zbl0272.46011MR0344848
  8. F. JONGMANS, Cris et chuchotements des cônes, Bull. Soc. Roy. Se. Liège 49 (1980), 312-346. (1980) Zbl0467.52001MR0614326
  9. J. VANGELDERE, Propriété de l'intersection en dimension quelconque, Bull. Soc. Roy. Se. Liège 48 (1979), 444-460. (1979) Zbl0434.52001MR0575564
  10. C. ZALINESCU, On a class of convex sets, Comment. Math. Univ. Carolinae 27 (1986), 543-549. (1986) Zbl0618.52001MR0873627

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.