2 papers
math.FA2022
Linear orthogonality preservers between function spaces associated with commutative JB-triples
David Cabezas, Antonio M. Peralta
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^{\mathbb{T}}(L) = \{ a\in C_0(L) :…
math.FA2022
Every commutative JB-triple satisfies the complex Mazur--Ulam property
David Cabezas, María Cueto-Avellaneda, Daisuke Hirota +2
We prove that every commutative JB-triple satisfies the complex Mazur--Ulam property. Thanks to the representation theory, we can identify commutative JB-triples as spaces…