THE RANGE OF DERIVATIONS ON BANACH ALGEBRAS

Title & Authors
THE RANGE OF DERIVATIONS ON BANACH ALGEBRAS
Jun, Kil-Woung; Kim, Hark-Mahn;

Abstract
In this paper we show that if D is a continuous linear Jordan derivation on a Banach algebra A satisfying [[D($\small{x^{n}}$), $\small{x^{n}}$, $\small{x^{n}}$] $\small{\in}$ rad(A) for a positive integer n and for all x$\small{{\in}}$A, then D maps A into rad(A).
Keywords
Language
English
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