43 citations · 298 across the 79 of their papers we have counts for
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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…
Estimations of the numerical index of a JB-triple
David Cabezas, Antonio M. Peralta
We prove that every commutative JB-triple has numerical index one. We also revisit the notion of commutativity in JB-triples to show that a JBW-triple has numerical…
A strengthened Kadison's transitivity theorem for unital JB-algebras with applications to the Mazur--Ulam property
Antonio M. Peralta, Radovan Švarc
The principal result in this note is a strengthened version of Kadison's transitivity theorem for unital JB-algebras, showing that for each minimal tripotent in the bidual,…