Antonio M. Peralta

most citedOn the extension of isometries between the unit spheres of a JBW

^{*}

-triple and a Banach space

8 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.OA2018★ 8 cited

On the extension of isometries between the unit spheres of a JBW $^{*}$ -triple and a Banach space

Julio Becerra-Guerrero, María Cueto-Avellaneda, Francisco J. Fernández-Polo +1

We prove that every JBW $^{*}$ -triple $M$ with rank one or rank bigger than or equal to three satisfies the Mazur--Ulam property, that is, every surjective isometry from the unit sphe…

math.OA2018

The $λ$ -function in the space of trace class operators

Antonio M. Peralta

Let $C_{1} (H)$ denote the space of all trace class operators on an arbitrary complex Hilbert space $H$ . We prove that $C_{1} (H)$ satisfies the $λ$ -property, and we determine the form o…

On the extension of isometries between the unit spheres of a JBW∗-triple and a Banach space

The λ-function in the space of trace class operators

On the extension of isometries between the unit spheres of a JBW $^{*}$ -triple and a Banach space

The $λ$ -function in the space of trace class operators