Geodesic
On multilinear mappings attaining their norms.
Studia Mathematica, Tome 131 (1998) no. 2, pp. 155-165

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

We show, for any Banach spaces X and Y, the denseness of the set of bilinear forms on X × Y whose third Arens transpose attains its norm. We also prove the denseness of the set of norm attaining multilinear mappings in the class of multilinear mappings which are weakly continuous on bounded sets, under some additional assumptions on the Banach spaces, and give several examples of classical spaces satisfying these hypotheses. 
Maria Acosta. On multilinear mappings attaining their norms.. Studia Mathematica, Tome 131 (1998) no. 2, pp. 155-165. doi: 10.4064/sm-131-2-155-165
@article{10_4064_sm_131_2_155_165,
     author = {Maria Acosta},
     title = {On multilinear mappings attaining their norms.},
     journal = {Studia Mathematica},
     pages = {155--165},
     year = {1998},
     volume = {131},
     number = {2},
     doi = {10.4064/sm-131-2-155-165},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-155-165/}
}
TY  - JOUR
AU  - Maria Acosta
TI  - On multilinear mappings attaining their norms.
JO  - Studia Mathematica
PY  - 1998
SP  - 155
EP  - 165
VL  - 131
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-155-165/
DO  - 10.4064/sm-131-2-155-165
LA  - en
ID  - 10_4064_sm_131_2_155_165
ER  - 
%0 Journal Article
%A Maria Acosta
%T On multilinear mappings attaining their norms.
%J Studia Mathematica
%D 1998
%P 155-165
%V 131
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-155-165/
%R 10.4064/sm-131-2-155-165
%G en
%F 10_4064_sm_131_2_155_165

Cité par Sources :