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 2018 · math.OAShow all

4 papers · 2 filters

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.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.OA2018

A survey on Tingley's problem for operator algebras

Antonio M. Peralta

We survey the most recent results on extension of isometries between special subsets of the unit spheres of C $^{*}$ -algebras, von Neumann algebras, trace class operators, preduals of…

math.OA2018

Absolutely compatible pairs in a von Neumann algebra

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

Let $a, b$ be elements in a unital C $^{*}$ -algebra with $0 \leq a, b \leq 1$ . The element $a$ is absolutely compatible with $b$ if $∣ a - b ∣ + ∣1 - a - b ∣ = 1.$ In t…