7 citations · 16 across the 6 of their papers we have counts for
4 papers · 1 filter
On the extension of isometries between the unit spheres of von Neumann algebras
Antonio M. Peralta, Francisco J. Fernández-Polo
We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebr…
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…
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 and admits a unit extension to a surjective real linear isometry from int…
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 and , let and denote the unit spheres of the C-algebras and of all bounded linear operators on and…