Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773272 | Linear Algebra and its Applications | 2017 | 30 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta, Ignacio Villanueva,