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.
Keywords:
proved riesz elements intersection kernel closure image family derivations banach algebra quasinilpotent related results obtained
Affiliations des auteurs :
Victor S. Shulman 1 ; Yuriĭ V. Turovskii 2
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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/}
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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 -
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
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