On the Kleinecke–Shirokov Theorem for families of derivations
Studia Mathematica, Tome 149 (2002) no. 2, pp. 185-190

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

It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.
DOI : 10.4064/sm149-2-7
Keywords: proved riesz elements intersection kernel closure image family derivations banach algebra quasinilpotent related results obtained

Victor S. Shulman 1 ; Yuriĭ V. Turovskii 2

1 Departament of Mathematics Vologda State Technical University 15 Lenin Str. 160008 Vologda, Russia
2 Institute of Mathematics and Mechanics 9 F. Agaev Str. 370141 Baku, Azerbaijan
@article{10_4064_sm149_2_7,
     author = {Victor S. Shulman and Yuri\u{i} V. Turovskii},
     title = {On the {Kleinecke{\textendash}Shirokov} {Theorem
for} families of derivations},
     journal = {Studia Mathematica},
     pages = {185--190},
     publisher = {mathdoc},
     volume = {149},
     number = {2},
     year = {2002},
     doi = {10.4064/sm149-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm149-2-7/}
}
TY  - JOUR
AU  - Victor S. Shulman
AU  - Yuriĭ V. Turovskii
TI  - On the Kleinecke–Shirokov Theorem
for families of derivations
JO  - Studia Mathematica
PY  - 2002
SP  - 185
EP  - 190
VL  - 149
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm149-2-7/
DO  - 10.4064/sm149-2-7
LA  - en
ID  - 10_4064_sm149_2_7
ER  - 
%0 Journal Article
%A Victor S. Shulman
%A Yuriĭ V. Turovskii
%T On the Kleinecke–Shirokov Theorem
for families of derivations
%J Studia Mathematica
%D 2002
%P 185-190
%V 149
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm149-2-7/
%R 10.4064/sm149-2-7
%G en
%F 10_4064_sm149_2_7
Victor S. Shulman; Yuriĭ V. Turovskii. On the Kleinecke–Shirokov Theorem
for families of derivations. Studia Mathematica, Tome 149 (2002) no. 2, pp. 185-190. doi: 10.4064/sm149-2-7

Cité par Sources :