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A note on generalized derivations in Banach algebras |
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| Authors: | Cheng-Kai Liu |
| Affiliation: | Department of Mathematics, National Changhua University of Education, Changhua 500, Taiwan |
| Abstract: | In this note we characterize a complex Banach algebra A admitting a generalized derivation g such that the cardinality of the spectrum σ(g(x)) is exactly one for all x∈A. |
| Keywords: | Banach algebra Radical Spectrum Generalized derivation |
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