A. Peralta

activity

20122024

most citedA solution to Tingley's problem for isometries between the unit spheres of compact C

^{*}

-algebras and JB

^{*}

-triples

43 citations · 298 across the 79 of their papers we have counts for

collaborators

Showing 2023 · math.OAShow all

2 papers · 2 filters

math.OA2023

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 $M$ has numerical…

math.OA2023

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 $e$ in the bidual,…

Estimations of the numerical index of a JB∗-triple

A strengthened Kadison's transitivity theorem for unital JB∗-algebras with applications to the Mazur--Ulam property

Estimations of the numerical index of a JB $^{*}$ -triple

A strengthened Kadison's transitivity theorem for unital JB $^{*}$ -algebras with applications to the Mazur--Ulam property