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math.FA2022
Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition
David Cabezas, María Cueto-Avellaneda, Yuta Enami +2
In 2022, Hatori gave a sufficient condition for complex Banach spaces to have the complex Mazur--Ulam property. In this paper, we introduce a class of complex Banach spaces tha…
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…