43 citations · 298 across the 79 of their papers we have counts for
8 papers · 2 filters
On the unit sphere of positive operators
Antonio M. Peralta
Given a C-algebra , let denote the set of those positive elements in the unit sphere of . Let , and be complex Hilbert spaces, where $H_3…
Extending surjective isometries defined on the unit sphere of
Antonio M. Peralta
Let be an infinite set equipped with the discrete topology. We prove that the space of all complex-valued bounded functions on , satisfies the Mazur-Ulam…
The Mazur-Ulam property for the space of complex null sequences
Antonio Jiménez-Vargas, Antonio Morales Campoy, Antonio M. Peralta +1
Given an infinite set , we prove that the space of complex null sequences satisfies the Mazur-Ulam property, that is, for each Banach space , every surjective isomet…
2-local standard isometries on vector-valued Lipschitz function spaces
Antonio Jiménez-Vargas, Lei Li, Antonio M. Peralta +2
Under the right conditions on a compact metric space and on a Banach space , we give a description of the -local (standard) isometries on the Banach space $\hbox{Lip}(X,E…
Weak-2-local isometries on uniform algebras and Lipschitz algebras
Lei Li, Antonio M. Peralta, Liguang Wang +1
We establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Słodkowski theorems, and we apply them to prove that every weak-2-local isometry between two uniform alge…
Tingley's problem for spaces of trace class operators
Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta +1
We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry bet…