Topologically Injective $C^*$-Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91

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

A criterion for the topological injectivity of an $AW^*$-algebra as a right Banach module over itself is given. A necessary condition for a $C^*$-algebra to be topologically injective is obtained.
Keywords: topological injectivity, metric injectivity, $AW^*$-algebra, $C^*$-algebra, l.u.st. property.
@article{FAA_2016_50_2_a8,
     author = {N. T. Nemesh},
     title = {Topologically {Injective} $C^*${-Algebras}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {88--91},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/}
}
TY  - JOUR
AU  - N. T. Nemesh
TI  - Topologically Injective $C^*$-Algebras
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2016
SP  - 88
EP  - 91
VL  - 50
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/
LA  - ru
ID  - FAA_2016_50_2_a8
ER  - 
%0 Journal Article
%A N. T. Nemesh
%T Topologically Injective $C^*$-Algebras
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2016
%P 88-91
%V 50
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/
%G ru
%F FAA_2016_50_2_a8
N. T. Nemesh. Topologically Injective $C^*$-Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/