4 citations · 4 across the 5 of their papers we have counts for
7 papers
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…
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…
Can one identify two unital JB-algebras by the metric spaces determined by their sets of unitaries?
María Cueto-Avellaneda, Antonio M. Peralta
Let and be two unital JB-algebras and let and denote the sets of all unitaries in and , respectively. We prove that the follo…
Metric characterisation of unitaries in JB-algebras
María Cueto-Avellaneda, Antonio M. Peralta
Let be a unital JB-algebra whose closed unit ball is denoted by . Let denote the set of all extreme points of . We…
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 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…