María Cueto-Avellaneda

activity

20182025

most citedMetric characterisation of unitaries in JB

^{*}

-algebras

4 citations · 8 across the 9 of their papers we have counts for

collaborators

11 papers

math.FA2025

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…

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 $B$ tha…

math.DG2022★ 1 cited

Horofunctions and metric compactification of noncompact Hermitian symmetric spaces

Cho-Ho Chu, María Cueto-Avellaneda, Bas Lemmens

Given a Hermitian symmetric space $M$ of noncompact type, we give a complete description of the horofunctions in the metric compactification of $M$ with respect to the Carathéodory…

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, $U^{0} (M)$ , of the set of unitary elements, $\m…

math.OA2020

Can one identify two unital JB $^{*}$ -algebras by the metric spaces determined by their sets of unitaries?

María Cueto-Avellaneda, Antonio M. Peralta

Let $M$ and $N$ be two unital JB $^{*}$ -algebras and let $U (M)$ and $U (N)$ denote the sets of all unitaries in $M$ and $N$ , respectively. We prove that the follo…

math.OA2019★ 4 cited

Metric characterisation of unitaries in JB $^{*}$ -algebras

María Cueto-Avellaneda, Antonio M. Peralta

Let $M$ be a unital JB $^{*}$ -algebra whose closed unit ball is denoted by $B_{M}$ . Let $\partial_{e} (B_{M})$ denote the set of all extreme points of $B_{M}$ . We…

math.FA2019

On the Mazur--Ulam property for the space of Hilbert-space-valued continuous functions

María Cueto-Avellaneda, Antonio M. Peralta

Let $K$ be a compact Hausdorff space and let $H$ be a real or complex Hilbert space with dim $(H_{R}) \geq 2$ . We prove that the space $C (K, H)$ of all $H$ -valued continuous fu…

math.DG2018

The Ricci pinching functional on solvmanifolds

Jorge Lauret, Cynthia E. Will

We study the natural functional F=scal^2/|Ric|^2 on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension n. As an application of propert…

math.FA2018★ 3 cited

The Mazur-Ulam property for commutative von Neumann algebras

Antonio M. Peralta, María Cueto-Avellaneda

Let $(Ω, μ)$ be a $σ$ -finite measure space. Given a Banach space $X$ , let the symbol $S (X)$ stand for the unit sphere of $X$ . We prove that the space $L^{\infty} (Ω, μ)$ of all compl…

Isomorphisms of Tits--Kantor--Koecher Lie algebras of JB*-triples

Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition

Horofunctions and metric compactification of noncompact Hermitian symmetric spaces

Every commutative JB∗-triple satisfies the complex Mazur--Ulam property

Exploring new solutions to Tingley's problem for function algebras

Surjective isometries between unitary sets of unital JB∗-algebras

Can one identify two unital JB∗-algebras by the metric spaces determined by their sets of unitaries?

Metric characterisation of unitaries in JB∗-algebras

On the Mazur--Ulam property for the space of Hilbert-space-valued continuous functions

The Ricci pinching functional on solvmanifolds

The Mazur-Ulam property for commutative von Neumann algebras

Every commutative JB $^{*}$ -triple satisfies the complex Mazur--Ulam property

Surjective isometries between unitary sets of unital JB $^{*}$ -algebras

Can one identify two unital JB $^{*}$ -algebras by the metric spaces determined by their sets of unitaries?

Metric characterisation of unitaries in JB $^{*}$ -algebras