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 2021 · math.OAShow all

3 papers · 2 filters

math.OA2021

Order type relations on the set of tripotents in a JB $^{*}$ -triple

Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta

We introduce, investigate and compare several order type relations on the set of tripotents in a JB $^{*}$ -triple. The main two relations we address are $\leq_{h}$ and $\leq_{n}$ . We say th…

math.OA2021★ 5 cited

Determinants in Jordan matrix algebras

Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta

We introduce a natural notion of determinant in matrix JB $^{*}$ -algebras, i.e., for hermitian matrices of biquaternions and for hermitian $3 \times 3$ matrices of complex octonions. W…

math.OA2021

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, $U^{0} (M)$ , of the set of unitary elements, $\m…

Order type relations on the set of tripotents in a JB∗-triple

Determinants in Jordan matrix algebras

Surjective isometries between unitary sets of unital JB∗-algebras

Order type relations on the set of tripotents in a JB $^{*}$ -triple

Surjective isometries between unitary sets of unital JB $^{*}$ -algebras