Geodesic
Jordan *-derivations on standard operator algebras
Filomat, Tome 37 (2023) no. 1, p. 37

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DOI

Let H be a real or complex Hilbert space with dim(H) > 1, B(H) be algebra of all bounded linear operators on H and A(H) ⊆ B(H) be a standard operator algebra on H . If D : A(H) → B(H) is a linear mapping satisfying D(An+1) = n∑ i=0 AiD(A)(A∗)n−i for all A ∈ A(H), then D is a Jordan ∗-derivation on A(H). Later, we discuss some algebraic identities on semiprime rings.
DOI : 10.2298/FIL2301037A
Classification : 16W25, 16N60, 16W10, 13N15, 46K15
Keywords: Semiprime ring, Standard operator algebras, Hilbert space, Jordan ∗-derivation, Involution 
Abu Zaid Ansari; Faiza Shujat. Jordan *-derivations on standard operator algebras. Filomat, Tome 37 (2023) no. 1, p. 37 . doi: 10.2298/FIL2301037A
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