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Title Linear Maps on $$C^\star $$C⋆-Algebras Behaving like (Anti-)derivations at Orthogonal Elements
Type JournalPaper
Keywords Derivation · Anti-derivation · Orthogonal elements · C-algebra
Abstract Let A be a C-algebra, and let δ : A → A∗∗ be a continuous linear map. We assume that δ acts like a derivation or like an anti-derivation at orthogonal elements for several types of orthogonality conditions such as ab = 0, ab = 0, ab = 0, ab = ba = 0 and ab = ba = 0. In each case, we characterize the precise form of δ.
Researchers Hoger Ghahramani (Second Researcher), Behrooz Fadaee (First Researcher)