On the Kleinecke-Shirokov Theorem for families of derivations

Victor S. Shulman; Yuriĭ V. Turovskii

Studia Mathematica (2002)

  • Volume: 149, Issue: 2, page 185-190
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Victor S. Shulman, and Yuriĭ V. Turovskii. "On the Kleinecke-Shirokov Theorem for families of derivations." Studia Mathematica 149.2 (2002): 185-190. <http://eudml.org/doc/285237>.

@article{VictorS2002,
abstract = {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.},
author = {Victor S. Shulman, Yuriĭ V. Turovskii},
journal = {Studia Mathematica},
keywords = {Banach algebra; derivation; Kleinecke-Shirokov theorem; Riesz element; quasinilpotent},
language = {eng},
number = {2},
pages = {185-190},
title = {On the Kleinecke-Shirokov Theorem for families of derivations},
url = {http://eudml.org/doc/285237},
volume = {149},
year = {2002},
}

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
VL - 149
IS - 2
SP - 185
EP - 190
AB - 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.
LA - eng
KW - Banach algebra; derivation; Kleinecke-Shirokov theorem; Riesz element; quasinilpotent
UR - http://eudml.org/doc/285237
ER -

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