A. Peralta

activity

20122024

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

^{*}

-algebras and JB

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-triples

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

collaborators

Showing 2019 · math.FAShow all

3 papers · 2 filters

math.FA2019★ 19 cited

Extension of isometries from the unit sphere of a rank-2 Cartan factor

Ondřej F. K. Kalenda, Antonio M. Peralta

We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor $C$ onto the unit sphere of a real Banach space $Y$ , admits an extension to a surjective real…

math.FA2019

On the Mazur--Ulam property for the space of Hilbert-space-valued continuous functions

María Cueto-Avellaneda, Antonio M. Peralta

Let $K$ be a compact Hausdorff space and let $H$ be a real or complex Hilbert space with dim $(H_{R}) \geq 2$ . We prove that the space $C (K, H)$ of all $H$ -valued continuous fu…

math.FA2019

Aron-Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems

Amin A. Khosravi, Hamid Reza Ebrahimi Vishki, Antonio M. Peralta

By extending the notion of Arens regularity of bilinear mappings, we say that a bounded trilinear map on Banach spaces id Aron--Berner regular when all its six Aron-Berner extensio…