Abstract
In this paper, we characterize the *-Jordan semi-triple derivable mappings (i.e. a mapping Φ from * algebra \(\mathcal{A}\) into \(\mathcal{A}\) satisfying Φ(AB*A) = Φ(A)B*A + AΦ(B)*A + AB* Φ(A) for every A, B \(\mathcal{A}\)) in the finite dimensional case and infinite dimensional case.
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Acknowledgement
The authors wish to thank anonymous reviewers for their constructive and valuable suggestions which have considerably improved the presentation of the paper. This work was supported by the National Natural Science Foundation of China (No. 11471199, No. 11601010) and the Postdoctoral Science Foundation of China (No. 2018M633450). The first author is supported by Foundation of Educational Commission (No. KY[2017]092) and of Science and Technology Department (No. [2018]1001) of Guizhou Province of China.
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Chen, L., Zhang, J. *-Jordan Semi-Triple Derivable Mappings. Indian J Pure Appl Math 51, 825–837 (2020). https://doi.org/10.1007/s13226-020-0434-4
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DOI: https://doi.org/10.1007/s13226-020-0434-4