The author in [30] obtain a complete characterization of all orthogonality preserving operators from a JB*-algebra to a 𝐽𝐵∗-triple following [30]. If 𝑇𝑚∶ 𝐽 → 𝐸 is a bounded linear operator from a 𝐽𝐵∗-algebra (respectively, a 𝐶∗-algebra) to a 𝐽𝐵∗-triple and ℎ𝑚 denotes the element 𝑇𝑚∗∗(1), then 𝑇𝑚 is orthogonality preserving, if and only if, 𝑇𝑚 preserves zero-triple-products, if and only if, there exists a Jordan ∗-homomorphism 𝑆𝑚∶ 𝐽 → 𝐸2∗∗(𝑟(ℎ𝑚)) such that 𝑆𝑚(𝑥) and ℎ𝑚 operator commute and 𝑇𝑚(𝑥)= ℎ𝑚•𝑟(ℎ𝑚)𝑆𝑚(𝑥), for every 𝑥 ∈ 𝐽, where 𝑟(ℎ𝑚) is the range tripotent of ℎ𝑚,𝐸2∗∗(𝑟(ℎ𝑚)) is the Peirce-2 subspace associated to 𝑟(ℎ𝑚) and •𝑟(ℎ𝑚) is the natural product making 𝐸2∗∗(𝑟(ℎ𝑚)) a 𝐽𝐵∗-algebra. This characterization culminates the description of all orthogonality preserving operators between 𝐶∗-algebras and 𝐽𝐵∗-algebras and show a widegeneralizations.
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