@misc{10481/77094,
year = {2022},
month = {5},
url = {https://hdl.handle.net/10481/77094},
abstract = {It is known, by Gelfand theory, that every commutative JB*-triple admits a representation as a space of continuous functions of the form

C-0(T) (L) = {alpha epsilon C-0(L) : alpha(lambda t) =lambda alpha(t), A lambda epsilon T, t epsilon L},

where L is a principal T-bundle and T denotes the unit circle in C. We provide a full technical description of all orthogonality preserving (non-necessarily continuous nor bijective) linear maps between commutative JB*-triples. Among the consequences of this representation, we obtain that every linear bijection preserving orthogonality between commutative JB*-triples is automatically continuous and bi-orthogonality preserving.},
organization = {Junta de Andalucia	FQM375
PY20_00255},
organization = {MCIN/AEI/FEDER 'Una manera de hacer Europa' Ministerio de Ciencia, Innovacion y Universidades	PGC2018-093332-B-I00
PID2021-122126NB-C31},
organization = {IMAG-Maria de Maeztu grant	CEX2020-001105M},
publisher = {Taylor & Francis},
keywords = {Orthogonality preserver},
keywords = {Biorthogonality preserver},
keywords = {Abelian JB*-triple},
keywords = {Automatic continuity},
title = {Linear orthogonality preservers between function spaces associated with commutative JB*-triples},
doi = {10.1080/03081087.2022.2119466},
author = {Cabezas, David and Peralta Pereira, Antonio Miguel},
}