Journal of the Chungcheong Mathematical Society (μΆ©μ²­μˆ˜ν•™νšŒμ§€)

The Chungcheong Mathematical Society (μΆ©μ²­μˆ˜ν•™νšŒ)
ꢌ호 ν‘œμ§€

GENERALIZED (πœƒ, πœ™)-DERIVATIONS ON POISSON BANACH ALGEBRAS AND JORDAN BANACH ALGEBRAS

  • Park, Chun-Gil (Department of Mathematics Chungnam National University)
  • Received : 2005.08.15
  • Published : 2005.10.31
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Abstract

In [1], the concept of generalized (${\theta}$, ${\phi}$)-derivations on rings was introduced. In this paper, we introduce the concept of generalized (${\theta}$, ${\phi}$)-derivations on Poisson Banach algebras and of generalizd (${\theta}$, ${\phi}$)-derivations on Jordan Banach algebras, and prove the Cauchy-Rassias stability of generalized (${\theta}$, ${\phi}$)-derivations on Poisson Banach algebras and of generalized (${\theta}$, ${\phi}$)-derivations on Jordan Banach algebras.

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