E-resources
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Ahmadi Gandomani, Mohammad Hossein; Mehdipour, Mohammad Javad
Bulletin of the Iranian Mathematical Society, 7/2, Volume: 45, Issue: 1Journal Article
In this paper, we investigate Jordan derivations, Jordan right derivations and Jordan left derivations of L 0 ∞ ( G ) ∗ . We show that any Jordan (right) derivation on L 0 ∞ ( G ) ∗ is a (right) derivation on L 0 ∞ ( G ) ∗ and the zero map is the only Jordan left derivation on L 0 ∞ ( G ) ∗ . Then, we prove that the range of a Jordan (right) derivation on L 0 ∞ ( G ) ∗ is contained into rad ( L 0 ∞ ( G ) ∗ ) . Finally, we establish that the product of two Jordan (right) derivations of L 0 ∞ ( G ) ∗ is always a derivation on L 0 ∞ ( G ) ∗ and there is no nonzero centralizing Jordan (right) derivation on L 0 ∞ ( G ) ∗ .
