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arXiv · 1702.07182

Tingley's problem for spaces of trace class operators

Francisco J. Fernández-Polo·Jorge J. Garcés·Antonio M. Peralta·Ignacio Villanueva
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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.

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Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta, Ignacio Villanueva. 2017-02-23. Tingley's problem for spaces of trace class operators. https://arxiv.org/abs/1702.07182

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