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 2018Show all

7 papers · 1 filter

math.OA2018★ 1 cited

Contractive linear preservers of absolutely compatible pairs between C*-algebras

Nabin K. Jana, Anil K. Karn, Antonio M. Peralta

Let $a$ and $b$ be elements in the closed ball of a unital C $^{*}$ -algebra $A$ (if $A$ is not unital we consider its natural unitization). We shall say that $a$ and $b$ are domain (r…

math.DG2018

The Ricci pinching functional on solvmanifolds

Jorge Lauret, Cynthia E. Will

We study the natural functional F=scal^2/|Ric|^2 on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension n. As an application of propert…

math.OA2018

Characterizing projections among positive operators in the unit sphere

Antonio M. Peralta

Let $E$ and $P$ be subsets of a Banach space $X$ , and let us define the unit sphere around $E$ in $P$ as the set $$Sph(E;P) :=\left\{ x\in P : \|x-b\|=1 \hbox{ for all } b\in E \ri…

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…