Francisco J. Fern'andez-Polo

activity

20122019

most citedOn the extension of isometries between the unit spheres of a C*-algebra and B(H)

7 citations · 16 across the 6 of their papers we have counts for

collaborators

Showing 2017 · math.FAShow all

3 papers · 2 filters

math.FA2017

Tingley's problem for spaces of trace class operators

Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta +1

We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry bet…

math.FA2017★ 1 cited

Tingley's problem through the facial structure of an atomic JBW*-triple

Francisco J. Fernández-Polo, Antonio M. Peralta

We prove that every surjective isometry between the unit spheres of two atomic JBW $^{*}$ -triples $E$ and $B$ admits a unit extension to a surjective real linear isometry from $E$ int…

math.FA2017★ 7 cited

On the extension of isometries between the unit spheres of a C*-algebra and B(H)

Francisco J. Fernández-Polo, Antonio M. Peralta

Given two complex Hilbert spaces $H$ and $K$ , let $S (B (H))$ and $S (B (K))$ denote the unit spheres of the C $^{*}$ -algebras $B (H)$ and $B (K)$ of all bounded linear operators on $H$ and…