LOCALIZATIONS OF THE KLEINECKE-SHIROKOV THEOREM

@article{Brai2007LOCALIZATIONSOT,
  title={LOCALIZATIONS OF THE KLEINECKE-SHIROKOV THEOREM},
  author={J. Bra{\vc}i{\vc} and B. Kuzma},
  journal={Operators and Matrices},
  year={2007},
  pages={385-389}
}
Alocal version of the Kleinecke-Shirokov theorem is proved. The results easily extend to bounded linear derivations on Banach algebras. In case of algebraic elements, an improved bound on the nilindex of a commutator is obtained as a consequence. 
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