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 2018 · math.FAShow all

2 papers · 2 filters

math.FA2018★ 3 cited

The Mazur-Ulam property for commutative von Neumann algebras

Antonio M. Peralta, María Cueto-Avellaneda

Let $(Ω, μ)$ be a $σ$ -finite measure space. Given a Banach space $X$ , let the symbol $S (X)$ stand for the unit sphere of $X$ . We prove that the space $L^{\infty} (Ω, μ)$ of all compl…

math.FA2018

Tingley's problem for $p$ -Schatten von Neumann classes

Francisco J. Fernández-Polo, Enrique Jordá, Antonio M. Peralta

Let $H$ and $H^{'}$ be a complex Hilbert spaces. For $p \in (1, \infty) \ {2}$ we consider the Banach space $C_{p} (H)$ of all $p$ -Schatten von Neumann operators, whose unit spher…

The Mazur-Ulam property for commutative von Neumann algebras

Tingley's problem for p-Schatten von Neumann classes

Tingley's problem for $p$ -Schatten von Neumann classes