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 representati...

The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the linear operators on Mn which preserve certain matrix functions: those linear operators on Mn preserves the determinant and those preserves the characteristic polynomial (spectrum). He proved that if M M n n → : T is a linear transformation satisfying) det()) (T det(A A = , M A n ∈ , then either UAV ...