Geodesic
Amenability and the second dual of a Banach algebra
Studia Mathematica, Tome 125 (1997) no. 1, pp. 75-81

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

Amenability and the Arens product are studied. Using the Arens product, derivations from A are extended to derivations from A**. This is used to show directly that A** amenable implies A amenable.
DOI : 10.4064/sm-125-1-75-81
Keywords: amenability, Arens regularity, second dual

Frédéric Gourdeau 1

1 
@article{10_4064_sm_125_1_75_81,
     author = {Fr\'ed\'eric Gourdeau},
     title = {Amenability and the second dual of a {Banach} algebra},
     journal = {Studia Mathematica},
     pages = {75--81},
     publisher = {mathdoc},
     volume = {125},
     number = {1},
     year = {1997},
     doi = {10.4064/sm-125-1-75-81},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-75-81/}
}
TY  - JOUR
AU  - Frédéric Gourdeau
TI  - Amenability and the second dual of a Banach algebra
JO  - Studia Mathematica
PY  - 1997
SP  - 75
EP  - 81
VL  - 125
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-75-81/
DO  - 10.4064/sm-125-1-75-81
LA  - en
ID  - 10_4064_sm_125_1_75_81
ER  - 
%0 Journal Article
%A Frédéric Gourdeau
%T Amenability and the second dual of a Banach algebra
%J Studia Mathematica
%D 1997
%P 75-81
%V 125
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-75-81/
%R 10.4064/sm-125-1-75-81
%G en
%F 10_4064_sm_125_1_75_81
Frédéric Gourdeau. Amenability and the second dual of a Banach algebra. Studia Mathematica, Tome 125 (1997) no. 1, pp. 75-81. doi: 10.4064/sm-125-1-75-81

Cité par Sources :