Linear orthogonality preservers between function spaces associated with commutative JB<sup>⋆</sup>-triples
نویسندگان
چکیده
It is known, by Gelfand theory, that every commutative JB∗-triple admits a representation as space of continuous functions the form C0T(L)={a∈C0(L):a(λt)=λa(t),∀λ∈T,t∈L},where L principal T-bundle and T denotes unit circle in C. We provide full technical description all orthogonality preserving (non-necessarily nor bijective) linear maps between JB∗-triples. Among consequences this representation, we obtain bijection JB∗-triples automatically bi-orthogonality preserving.
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ژورنال
عنوان ژورنال: Linear & Multilinear Algebra
سال: 2022
ISSN: ['0308-1087', '1026-7573', '1563-5139']
DOI: https://doi.org/10.1080/03081087.2022.2119466