Local triple derivations from C$^*$-algebras into their iterated duals

Mohsen Niazi, Mohammad Reza Miri

Abstract


We show that every local triple derivation from a C$^*$-algebra into any of its iterated duals is a triple derivation. This result partially solves a problem posed by M. Burgos \emph{et al.} in [Bull. London Math. Soc. 46 (4), 709-724 (2014)].

Keywords


triple derivation, local triple derivation, derivation, generalised derivation, unital C$^*$-algebra

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.49.2018.2228

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