THE PROPERTIES OF JORDAN DERIVATIONS OF SEMIPRIME RINGS AND BANACH ALGEBRAS, II
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 $x{\in}A$.
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| Veröffentlicht in: | Communications of the Korean Mathematical Society 2019, Vol.34 (3), p.811-818 |
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| Format: | Artikel |
| Sprache: | kor |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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 $x{\in}A$. |
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| ISSN: | 1225-1763 2234-3024 |