Geodesic
A minimax theorem for linear operators
Minimax theory and its applications, Tome 1 (2016) no. 2
Cet article a éte moissonné depuis la source Minimax Theory and its Applications website

Voir la notice de l'article

The aim of this note is to prove the following minimax theorem which generalizes a result by B. Ricceri: let E be an infinite-dimensional Banach space not containing l1, F be a Banach space, X be a convex subset of E whose interior is non-empty for the weak topology on bounded sets, S and T be linear and continuous operators from E to F, φ : F → R be a continuous convex coercive map, J ⊂ R a compact interval and ψ : J → R a convex continuous function. Assume moreover that S ×T has a closed range in F ×F and that S is not compact. Then
Mots-clés : Minimax, Banach spaces, linear operators 
@article{MTA_2016_1_2_a4,
     author = {Jean Saint Raymond},
     title = {A minimax theorem for linear operators},
     journal = {Minimax theory and its applications},
     year = {2016},
     volume = {1},
     number = {2},
     zbl = {1356.49007},
     url = {http://geodesic.mathdoc.fr/item/MTA_2016_1_2_a4/}
}
TY  - JOUR
AU  - Jean Saint Raymond
TI  - A minimax theorem for linear operators
JO  - Minimax theory and its applications
PY  - 2016
VL  - 1
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MTA_2016_1_2_a4/
ID  - MTA_2016_1_2_a4
ER  - 
%0 Journal Article
%A Jean Saint Raymond
%T A minimax theorem for linear operators
%J Minimax theory and its applications
%D 2016
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/MTA_2016_1_2_a4/
%F MTA_2016_1_2_a4
Jean Saint Raymond. A minimax theorem for linear operators. Minimax theory and its applications, Tome 1 (2016) no. 2. http://geodesic.mathdoc.fr/item/MTA_2016_1_2_a4/