Derivations mapping into the socle, II
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- by Matej Brešar
- Proc. Amer. Math. Soc. 126 (1998), 181-187
- DOI: https://doi.org/10.1090/S0002-9939-98-03993-8
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Abstract:
Let $\mathcal A$ be a unital Banach algebra. Several characterizations of continuous derivations of $\mathcal A$ having only elements with finite spectrum in their ranges are obtained. In particular, if $\mathcal A$ is semisimple, then such derivations map $\mathcal A$ into its socle.References
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Bibliographic Information
- Matej Brešar
- Affiliation: Department of Mathematics, University of Maribor, PF, Koroška 160, 62000 Maribor, Slovenia
- Email: bresar@uni-mb.sl
- Received by editor(s): March 20, 1996
- Received by editor(s) in revised form: July 8, 1996
- Additional Notes: The author was supported in part by a grant from the Ministry of Science of Slovenia
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 181-187
- MSC (1991): Primary 46H05
- DOI: https://doi.org/10.1090/S0002-9939-98-03993-8
- MathSciNet review: 1416078