Geodesic
Banach Algebras with Bounded Groups of Generators, and the Schur Property
Matematičeskie zametki, Tome 71 (2002) no. 5, pp. 725-731

Voir la notice de l'article provenant de la source Math-Net.Ru

Recall that a Banach space $X$ is said to have the Schur property if any weakly compact set in $X$ is strongly compact. In this note we consider a Banach algebra $A$ that has a bounded group of generators. Along with other results, it is proved that if $A^*$ has the Schur property, then the Gelfand space of the algebra $A$ is a scattered set and, moreover, $A^*$ has the Radon–Nikodym property. 
@article{MZM_2002_71_5_a7,
     author = {H. S. Mustafaev},
     title = {Banach {Algebras} with {Bounded} {Groups} of {Generators,} and the {Schur} {Property}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {725--731},
     publisher = {mathdoc},
     volume = {71},
     number = {5},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a7/}
}
TY  - JOUR
AU  - H. S. Mustafaev
TI  - Banach Algebras with Bounded Groups of Generators, and the Schur Property
JO  - Matematičeskie zametki
PY  - 2002
SP  - 725
EP  - 731
VL  - 71
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a7/
LA  - ru
ID  - MZM_2002_71_5_a7
ER  - 
%0 Journal Article
%A H. S. Mustafaev
%T Banach Algebras with Bounded Groups of Generators, and the Schur Property
%J Matematičeskie zametki
%D 2002
%P 725-731
%V 71
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a7/
%G ru
%F MZM_2002_71_5_a7
H. S. Mustafaev. Banach Algebras with Bounded Groups of Generators, and the Schur Property. Matematičeskie zametki, Tome 71 (2002) no. 5, pp. 725-731. http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a7/