Tingley's problem for spaces of trace class operators
Functional Analysis
2017-04-11 v2 Operator Algebras
Abstract
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 between the spaces. This provides a positive solution to Tingley's problem in a new class of operator algebras.
Cite
@article{arxiv.1702.07182,
title = {Tingley's problem for spaces of trace class operators},
author = {Francisco J. Fernández-Polo and Jorge J. Garcés and Antonio M. Peralta and Ignacio Villanueva},
journal= {arXiv preprint arXiv:1702.07182},
year = {2017}
}