4 citations · 8 across the 9 of their papers we have counts for
6 papers · 1 filter
Isomorphisms of Tits--Kantor--Koecher Lie algebras of JB*-triples
María Cueto-Avellaneda, Lina Oliveira
We characterise the isomorphisms of Tits--Kantor--Koecher Lie algebras of JB*-triples as a class of surjective linear isometries and show how these algebras form a category equival…
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…
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…
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…
On the Mazur--Ulam property for the space of Hilbert-space-valued continuous functions
María Cueto-Avellaneda, Antonio M. Peralta
Let be a compact Hausdorff space and let be a real or complex Hilbert space with dim. We prove that the space of all -valued continuous fu…
The Mazur-Ulam property for commutative von Neumann algebras
Antonio M. Peralta, María Cueto-Avellaneda
Let be a -finite measure space. Given a Banach space , let the symbol stand for the unit sphere of . We prove that the space of all compl…