Noncommutative Versions of the Singer-Wermer Conjecture with Linear Left θ-derivations  

作　　者：Yong Soo JUNG Kyoo Hong PARK 

机构地区：[1]Department of Mathematics, Sun Moon University, Asan, Chungnam 336-708, Korea [2]Department of Mathematics Education, Seowon University, Cheongju, Chungbuk 361-742, Korea

出　　处：《Acta Mathematica Sinica,English Series》2008年第11期1891-1900,共10页数学学报（英文版）

摘　　要：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.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.

关 键 词：linear left θ-derivation linear θ-derivation Jacobson radical nil radical 

分 类 号：O177.2[理学—数学]