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*-Jordan Semi-Triple Derivable Mappings

Lin Chen () and Jianhua Zhang ()
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Lin Chen: Shaanxi Normal University
Jianhua Zhang: Shaanxi Normal University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 825-837

Abstract: Abstract In this paper, we characterize the *-Jordan semi-triple derivable mappings (i.e. a mapping Φ from * algebra $$\mathcal{A}$$ A into $$\mathcal{A}$$ A satisfying Φ(AB*A) = Φ(A)B*A + AΦ(B)*A + AB* Φ(A) for every A, B $$\mathcal{A}$$ A ) in the finite dimensional case and infinite dimensional case.

Keywords: Jordan semi-triple derivable mapping; derivation; matrix algebra; 47B49; 46K15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0434-4

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