Examples and Applications of Generalized Gyrovector Spaces

Examples and Applications of Generalized Gyrovector Spaces

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...

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Veröffentlicht in:Resultate der Mathematik 2017-02, Vol.71 (1-2), p.295-317
1. Verfasser: Hatori, Osamu
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-016-0576-1