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Korean Mathematical Society (대한수학회)
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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS

  • Published : 2002.04.01
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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)

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References

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Cited by

  1. A characterization of generalized Jordan derivations on Banach algebras vol.69, pp.2, 2014, https://doi.org/10.1007/s10998-014-0052-1
  2. Generalized Jordan left derivations on semiprime algebras vol.161, pp.1, 2010, https://doi.org/10.1007/s00605-009-0116-0
  3. Left Derivations Characterized by Acting on Multilinear Polynomials vol.39, pp.6, 2011, https://doi.org/10.1080/00927872.2010.480960