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http://dx.doi.org/10.4134/CKMS.2002.17.2.245

JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS  

Park, Kyoo-Hong (Department of Mathematics Education Seowon University)
Jung, Yong-Soo (Department of National University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.2, 2002 , pp. 245-252 More about this Journal
Abstract
In this paper we obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following : Let d be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra A. If d$^2$(x) = 0 for all x $\in$ A, then we have d(A) ⊆ red(A)
Keywords
Banach algebra; Jordan derivation; Jordan left derivation; Jacobson radical;
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