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Open Accesshttps://doi.org/10.1016/j.laa.2017.04.024
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Cite Journal: Linear Algebra and its Applications |  Publication Date: Apr 27, 2017 |
 Citations: 38 |  License type: cc-by-nc-nd |
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.
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