3 papers
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…
math.FA2021
Exploring new solutions to Tingley's problem for function algebras
María Cueto-Avellaneda, Daisuke Hirota, Takeshi Miura +1
In this note we present two new positive answers to Tingley's problem in certain subspaces of function algebras. In the first result we prove that every surjective isometry between…
math.OA2021
Surjective isometries between unitary sets of unital JB-algebras
María Cueto-Avellaneda, Yuta Enami, Daisuke Hirota +2
This paper is, in a first stage, devoted to establish a topological--algebraic characterization of the principal component, , of the set of unitary elements, $\m…