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- W3176283363 abstract "A linear mapping T on a JB $$^*$$ -triple E is called triple derivable at orthogonal pairs if for every $$a,b,cin E$$ with $$aperp b$$ we have $$begin{aligned} 0 = {T(a), b,c} + {a,T(b),c}+{a,b,T(c)}. end{aligned}$$ We prove that for each bounded linear mapping T on a JB $$^*$$ -algebra A the following assertions are equivalent: The result is new even in the case of C $$^*$$ -algebras. We next establish a new characterization of those linear maps on a JBW $$^*$$ -triple which are triple derivations in terms of a good local behavior on Peirce 2-subspaces. We also prove that assuming some extra conditions on a JBW $$^*$$ -triple M, the following statements are equivalent for each bounded linear mapping T on M:" @default.
- W3176283363 created "2021-07-05" @default.
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- W3176283363 date "2021-06-17" @default.
- W3176283363 modified "2023-09-27" @default.
- W3176283363 title "A linear preserver problem on maps which are triple derivable at orthogonal pairs" @default.
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- W3176283363 doi "https://doi.org/10.1007/s13398-021-01082-8" @default.
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