Tingley's problem for spaces of trace class operators

• DOI: 10.1016/j.laa.2017.04.024
• Publication Date: 2017-04-27T17:00:15Z
• Authors: Francisco J. Fern...; Jorge J. Garcés; Antonio M. Peralta; Ignacio Villanueva
• Keywords: Surjective function; Isometry (Riemannian geometry); TRACE (psycholinguistics); Nuclear operator; Trace class; Operator (biology)

We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to complex linear or conjugate spaces. This provides positive solution Tingley's problem in new operator algebras.