Abstract
In this paper we exhibit examples of generalized gyrovector spaces (GGVs) of the sets of positive invertible elements in unital C*-algebras. Then we employ a geometric inequality on the positive cones in these unital C*-algebras. By applying a Mazur–Ulam theorem for GGVs, we analyze Thompson-like isometries on GGVs of positive invertible elements.
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Hatori, O. Examples and Applications of Generalized Gyrovector Spaces. Results Math 71, 295–317 (2017). https://doi.org/10.1007/s00025-016-0576-1
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DOI: https://doi.org/10.1007/s00025-016-0576-1