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http://dx.doi.org/10.4134/CKMS.2013.28.3.535

JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I  

Kim, Byung-Do (Department of Mathematics Gangneung-Wonju National University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.3, 2013 , pp. 535-558 More about this Journal
Abstract
The purpose of this paper is to prove that the noncommutative version of the Singer-Wermer Conjecture is affirmative under certain conditions. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation $D:A{\rightarrow}A$ such that $D(x)^3[D(x),x]{\in}rad(A)$ for all $x{\in}A$. In this case, we show that $D(A){\subseteq}rad(A)$.
Keywords
prime and semiprime ring; (Jacobson) radical; Jordan derivation;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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