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Noncommutative versions of the Singer-Wermer conjecture with linear left ?-derivations |
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| Authors: | Yong Soo Jung Kyoo Hong Park |
| Institution: | (1) Department of Mathematics, Sun Moon University, Asan, Chungnam, 336-708, Korea;(2) Department of Mathematics Education, Seowon University, Cheongju, Chungbuk, 361-742, Korea |
| Abstract: | The noncommutative Singer-Wermer conjecture states that every linear (possibly unbounded) derivation on a (possibly noncommutative) Banach algebra maps into its Jacobson radical. This conjecture is still an open question for more than thirty years. In this paper we approach this question via linear left ϑ-derivations. |
| Keywords: | linear left ϑ -derivation linear ϑ -derivation Jacobson radical nil radical |
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