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http://dx.doi.org/10.4134/CKMS.c180264

THE PROPERTIES OF JORDAN DERIVATIONS OF SEMIPRIME RINGS AND BANACH ALGEBRAS, II  

Kim, Byung-Do (Department of Mathematics Gangneung-Wonju National University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.3, 2019 , pp. 811-818 More about this Journal
Abstract
Let A be a Banach algebra with rad(A). We show that if there exists a continuous linear Jordan derivation D on A, then $$[D(x),x]D(x)^2{\in}rad(A)$$ if and only if $D(x)[D(x),x]D(x){\in}rad(A)$ for all $x{\in}A$.
Keywords
Jordan derivation; derivation; semiprime ring; Banach algebra; the (Jacobson) radical;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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