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Noncommutative versions of the Singer-Wermer conjecture with linear left ϑ-derivations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sun Moon University, Asan, Chungnam, 336-708, Korea

    Yong Soo Jung

  2. Department of Mathematics Education, Seowon University, Cheongju, Chungbuk, 361-742, Korea

    Kyoo Hong Park

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  1. Yong Soo Jung
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  2. Kyoo Hong Park
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Correspondence to Yong Soo Jung.

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Jung, Y.S., Park, K.H. Noncommutative versions of the Singer-Wermer conjecture with linear left ϑ-derivations. Acta. Math. Sin.-English Ser. 24, 1891–1900 (2008). https://doi.org/10.1007/s10114-008-6244-y

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  • DOI: https://doi.org/10.1007/s10114-008-6244-y

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