23 citations · 82 across the 21 of their papers we have counts for
5 papers · 1 filter
Metric invariants in Banach and Jordan--Banach algebras
Antonio M. Peralta
In this note we collect some significant contributions on metric invariants for complex Banach algebras and Jordan--Banach algebras established during the last fifteen years. This…
Lie--Trotter formulae in Jordan--Banach algebras with applications to the study of spectral-valued multiplicative functionals
Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena
We establish some Lie--Trotter formulae for unital complex Jordan--Banach algebras, showing that for each couple of elements in a unital complex Jordan--Banach algebra $\math…
Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries
Antonio M. Peralta
We prove that every bijection preserving triple transition pseudo-probabilities between the sets of minimal tripotents of two atomic JBW-triples automatically preserves orthogo…
Tingley's problem through the facial structure of an atomic JBW*-triple
Francisco J. Fernández-Polo, Antonio M. Peralta
We prove that every surjective isometry between the unit spheres of two atomic JBW-triples and admits a unit extension to a surjective real linear isometry from int…
On the extension of isometries between the unit spheres of a C*-algebra and B(H)
Francisco J. Fernández-Polo, Antonio M. Peralta
Given two complex Hilbert spaces and , let and denote the unit spheres of the C-algebras and of all bounded linear operators on and…