The concept of duality in convex analysis, and the characterization of the Legendre transform
Annals of mathematics, Tome 169 (2009) no. 2, pp. 661-674
Voir la notice de l'article provenant de la source Annals of Mathematics website
In the main theorem of this paper we show that any involution on the class of lower semi-continuous convex functions which is order-reversing, must be, up to linear terms, the well known Legendre transform.
DOI :
10.4007/annals.2009.169.661
Affiliations des auteurs :
Shiri Artstein-Avidan 1 ; Vitali Milman 1
@article{10_4007_annals_2009_169_661,
author = {Shiri Artstein-Avidan and Vitali Milman},
title = {The concept of duality in convex analysis, and the characterization of the {Legendre} transform},
journal = {Annals of mathematics},
pages = {661--674},
publisher = {mathdoc},
volume = {169},
number = {2},
year = {2009},
doi = {10.4007/annals.2009.169.661},
mrnumber = {2480615},
zbl = {1173.26008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.661/}
}
TY - JOUR AU - Shiri Artstein-Avidan AU - Vitali Milman TI - The concept of duality in convex analysis, and the characterization of the Legendre transform JO - Annals of mathematics PY - 2009 SP - 661 EP - 674 VL - 169 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.661/ DO - 10.4007/annals.2009.169.661 LA - en ID - 10_4007_annals_2009_169_661 ER -
%0 Journal Article %A Shiri Artstein-Avidan %A Vitali Milman %T The concept of duality in convex analysis, and the characterization of the Legendre transform %J Annals of mathematics %D 2009 %P 661-674 %V 169 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.661/ %R 10.4007/annals.2009.169.661 %G en %F 10_4007_annals_2009_169_661
Shiri Artstein-Avidan; Vitali Milman. The concept of duality in convex analysis, and the characterization of the Legendre transform. Annals of mathematics, Tome 169 (2009) no. 2, pp. 661-674. doi: 10.4007/annals.2009.169.661
Cité par Sources :