Geodesic
Stability of isometries between groups of invertible elements in Banach algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 34-38

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

In this paper we prove the Hyers–Ulam stability of surjective isometries between groups of invertible elements of a unital Banach algebra and $C(K)$, where $K$ is a compact metric space.
Keywords: $\varepsilon$-isometry, Hyers–Ulam problem, Banach algebras. 
@article{FAA_2015_49_2_a3,
     author = {Yunbai Dong and Rui Shi},
     title = {Stability of isometries between groups of invertible elements in {Banach} algebras},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {34--38},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a3/}
}
TY  - JOUR
AU  - Yunbai Dong
AU  - Rui Shi
TI  - Stability of isometries between groups of invertible elements in Banach algebras
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2015
SP  - 34
EP  - 38
VL  - 49
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a3/
LA  - ru
ID  - FAA_2015_49_2_a3
ER  - 
%0 Journal Article
%A Yunbai Dong
%A Rui Shi
%T Stability of isometries between groups of invertible elements in Banach algebras
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2015
%P 34-38
%V 49
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a3/
%G ru
%F FAA_2015_49_2_a3
Yunbai Dong; Rui Shi. Stability of isometries between groups of invertible elements in Banach algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 34-38. http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a3/